\[\boxed{\mathbf{1140}\mathbf{.}\mathbf{\ }}\]
\[1)\ \frac{25}{27}x = \frac{5}{18}\text{\ \ \ }\]
\[x = \frac{5}{18}\ :\frac{25}{27}\]
\[x = \frac{5}{18} \cdot \frac{27}{25}\]
\[x = \frac{3}{10}\]
\[Ответ:\frac{3}{10}.\]
\[2)\ 4x = \frac{5}{7}\text{\ \ \ \ }\]
\[x = \frac{5}{7}\ :4\]
\[x = \frac{5}{7} \cdot \frac{1}{4}\]
\[x = \frac{5}{7 \cdot 4}\]
\[x = \frac{5}{28}\]
\[Ответ:\frac{5}{28}.\]
\[4)\ x\ :2\frac{2}{15} = 1\frac{9}{16}\text{\ \ \ \ }\]
\[x = 1\frac{9}{16} \cdot 2\frac{2}{15}\]
\[x = \frac{25}{16} \cdot \frac{32}{15}\]
\[x = \frac{10}{3}\]
\[x = 3\frac{1}{3}\]
\[Ответ:3\frac{1}{3}.\]
\[5)\ 4\frac{4}{9}\ :x = \frac{5}{27}\text{\ \ \ \ \ }\]
\[x = 4\frac{4}{9}\ :\frac{5}{27}\]
\[x = \frac{40}{9} \cdot \frac{27}{5}\]
\[x = 24\]
\[Ответ:24.\]