Cho \(a,b,c\) là ba số thực khác 0 thỏa mãn

Đặt: \(\frac{{2a}}{b} = \frac{{3b}}{c} = \frac{c}{{6a}} = t \Rightarrow \left\{ {\begin{array}{*{20}{l}}{2a = bt}\\{b = \frac{c}{3}t = 2a{t^2} \Leftrightarrow 2a = 2a{t^3} \Leftrightarrow t = 1.}\\{c = 6at}\end{array}} \right.\)

Suy ra: \(\left\{ {\begin{array}{*{20}{l}}{b = 2a}\\{c = 6a}\end{array}} \right.\).

\(P = \frac{{4ac - cb}}{{bc + 2ab}} = \frac{{4a.6a - 6a.2a}}{{2a.6a + 2a.2a}} = \frac{{12}}{{16}} = \frac{3}{4}\)