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$$\frac{409}{1} = \frac{113}{x}$$
Answer
$$ x = \frac{113}{409} $$
Explanation
$$ \begin{aligned} \frac{409}{1} &= \frac{113}{x}&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{409}{1} &= x\cdot\frac{113}{x}&& \text{cancel out the denominators} \\[1 em]409x &= 113&& \text{ divide both sides by $ 409 $ } \\[1 em]x &= \frac{113}{409}&& \\[1 em] \end{aligned} $$
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