# If 4/10=10/m what is the value of m?

$\frac{4}{10} = \frac{10}{m}$
Multiply both sides by$\left(m \cdot 10\right)$
$\frac{m \cdot \cancel{10} \cdot 4}{\cancel{10}} = \frac{\cancel{m} \cdot 10 \cdot 10}{\cancel{m}}$
$4 m = 100$
$m = 25$