What is the greatest three-digit number "abc'' such that $4,a,b$ forms a geometric sequence and $b,c,5$ forms an arithmetic sequence?
Question:
What is the greatest three-digit number "abc'' such that $4,a,b$ forms a geometric sequence and $b,c,5$ forms an arithmetic sequence?
Answer:
Let's think step by step.

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What is the greatest three-digit number "abc'' such that $4,a,b$ forms a geometric sequence and $b,c,5$ forms an arithmetic sequence?
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