The product of two rational numbers is $-\dfrac{4}{9}$. If one of them is $\dfrac{-2}{27}$, find the other.

Let the number be $x$.

$\dfrac{-2}{27} \times x = -\dfrac{4}{9}\\[1em] \Rightarrow x = -\dfrac{4}{9} ÷ \dfrac{-2}{27}\\[1em] \Rightarrow x = -\dfrac{4}{9} \times \dfrac{-27}{2}\\[1em] \Rightarrow x = \dfrac{4 \times 27}{9 \times 2}\\[1em] \Rightarrow x = \dfrac{108}{18}\\[1em] \Rightarrow x = 6$

The other number is 6.