Question
$$\frac{10}{40} = \frac{160}{x}$$
Answer
$$ x = 640 $$
Explanation
$$ \begin{aligned} \frac{10}{40} &= \frac{160}{x}&& \text{multiply ALL terms by } \color{blue}{ 40x }. \\[1 em]40x\cdot\frac{10}{40} &= 40x\cdot\frac{160}{x}&& \text{cancel out the denominators} \\[1 em]10x &= 6400&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{6400}{10}&& \\[1 em]x &= 640&& \\[1 em] \end{aligned} $$
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