Explicație pas cu pas:
[tex]\frac{a}{b} = \frac{3}{4} = > b = \frac{4a}{3} \\ [/tex]
[tex]\frac{b}{c} = \frac{9}{16} < = > \frac{4a}{3c} = \frac{9}{16} \\ \frac{a}{ {3}^{3} } = \frac{c}{ {2}^{6} } = k \\ a = {3}^{3}k \\ c = {2}^{6}k[/tex]
[tex] \frac{ {a}^{2} }{4 {c}^{2} } = \frac{ {( {3}^{3} k)}^{2} }{4 {( {2}^{6}k)}^{2} } = \frac{ {3}^{6} {k}^{2} }{ {2}^{2} \times {2}^{12} {k}^{2} } \\ = > \frac{ {a}^{2} }{4 {c}^{2} } = \frac{ {3}^{6} }{{2}^{14}}[/tex]
