If
\[
\frac{1}{5}\div\frac{1}{x}=\frac{1}{x}\div\frac{1}{125},
\]
then the value of \(x\) is
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Remember:
\[
\frac{a}{b}\div\frac{c}{d}
=
\frac{a}{b}\times\frac{d}{c}
\]
Always convert division of fractions into multiplication by taking the reciprocal.