# AuEN Ratio

Algebra Level 4

Let $x \in R^{+}$ such that $\{x\} , [x] , x$ are in a geometric progression. What is the common ratio of the G.P. ?

Notations: $[x]$ denotes the greatest integer less than $x$ while $\{x\}$ is defined to be $x-[x]$. You may refer to the Wikipedia link for more information about these notations.

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