Does tetraoxidovanadium (VO4+) ion exist?
Since the comment by Ivan pointing to a possible misprint got four votes and no answer yet, I'll post it as an answer. In short:  this is a misprint in the book, and the book probably meant $\ce{VO2+}$.

Here's a citation to back it up: Bertrand, G. L.; Stapleton, G. W.; Wulff, C. A.; Hepler, L. G. Thermochemistry of Aqueous Pervanadyl and Vanadyl Ions. Inorg. Chem. 1966, 5 (7), 1283-1284. DOI: 10.1021/ic50041a048.


  ...it does appear that below $\mathrm{pH} \approx2$ the principal species are the pervanadyl and vanadyl ions represented by $\ce{VO2+(aq)}$ and $\ce{VO^2+(aq)}$ (respectively).  


Also worth noting that the formation of the pervanadyl ion is more favourable with a free energy of formation of $\pu{-140.3kcal/mol}$, as opposed to $\pu{-106.7kcal/mole}$ for the vanadyl ion (as mentioned in the source above)