\(\frac{2}{3}:\frac{x}{9}:\frac{7}{5}=\frac{2}{7}:\frac{3}{5}:\frac{10}{9}\)\(\Rightarrow\frac{3}{2}.\frac{9}{x}.\frac{5}{7}=\frac{7}{2}.\frac{5}{3}.\frac{9}{10}\)
\(\Rightarrow\frac{3.45}{14x}=\frac{7.45}{60}\Rightarrow14x=\frac{3}{7}60=\frac{180}{7}\)
\(\Rightarrow x=\frac{180}{7}:14=\frac{180}{7}.\frac{1}{14}=\frac{90}{47}\)