The [first chapter](https://www.wisdomlib.org/hinduism/book/vishnu-purana-wilson/d/doc116023.html) of 5th Canto of Vishnu Purana makes following statements:

VP 5.1.2-4:

> 
> MAITREYA.— I wish now to hear a more particular description, holy Ṛṣi,
> **of the portion of Viṣṇu** that came down upon earth, and was born in the
> family of Yadu. Tell me also what actions he performed in his descent,
> **as a part of a part of the supreme**, upon the earth.
> 
> 
> Parāśara said:— I will relate to you, Maitreya, the account which you
> have requested; **the birth of a part of a part of Viṣṇ**u, and the
> benefits which his actions conferred upon the world.
> 
> 
> 

The same chapter Lord Vishnu says:

VP 5.1.59-65:

> 
> When Brahmā had ended, the supreme lord plucked off two hairs, one
> white and one black, and said to the gods, “**These my hairs shall
> descend upon earth**, and shall relieve her of the burden of her
> distress.
> 
> 
> Let all the gods also, in their own portions, go down to earth, and
> wage war with the haughty Asuras, who are there incorporate, and who
> shall every one of them be destroyed. Doubt not of this: they shall
> perish before the withering glance of mine eyes. **This my (black) hair
> shall be impersonated in the eighth conception of the wife of
> Vasudeva, Devakī,** who is like a goddess; and shall slay Kansa, who is
> the demon Kālanemi.” Thus having spoken, Hari disappeared; and the
> gods bowing to him, though invisible, returned to the summit of mount
> Meru, from whence they descended upon earth.
> 
> 
> 

In the same chapter (5.1.76), Lord Vishnu says

> 
> **I will myself become incarnate in the eighth conception of Devakī**; and
> you shall immediately take a similar character as the embryo offspring
> of Yaśodā.
> 
> 
> 

While disagreement among different puranas can be set aside for now, here we see there are three contrary statements in the same Purana and in the same chapter that can be summarized:

> 
> 1. The first statement implies Krishna is incarnation of very tiny part of Vishnu. It has 3 sub statements . Krishna as :
> 
> 
> A. incarnation of portion of Vishnu
> 
> 
> B. incarnation of part of part of Vishnu.
> 
> 
> C. incarnation of part of part of supreme.
> 2. The second statement implies Krishna is incarnation of Vishnu's black hair.
> 3. The third statement implied Krishna is incarnation of Vishnu himself.
> 
> 
> 

How can these statements be harmonized in the light of Vishnu Purana itself?

Is Krishna incarnation of part of Vishnu/ part of part of Vishnu/ part of part of supreme/ Vishnu's black hair/ Vishnu himself?