\(m:3+m:9+m:27+m:81=\frac{5}{9}\)
\(m:\left(3+9+27+81\right)=\frac{5}{9}\)
\(m:120=\frac{5}{9}\)
\(m=\frac{5}{9}\times120\)
\(m=\frac{200}{3}\)
\(m.\frac{1}{3}+m.\frac{1}{9}+m.\frac{1}{27}+m.\frac{1}{81}=\frac{5}{9}\)
\(m\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\right)=\frac{5}{9}\)
Vì: \(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}=\frac{27}{81}+\frac{9}{81}+\frac{3}{81}+\frac{1}{81}=\frac{40}{81}\)
nên \(m.\frac{40}{81}=\frac{5}{9}\)
\(m=\frac{5}{9}:\frac{40}{81}=\frac{5}{9}.\frac{81}{40}=\frac{9}{8}\)
m : 3 + m : 9 + m : 27 + m : 81 = 5/9
( 3 + 9 + 27 + 81 ) : m = 5/9
120 : m = 5/9
m = 120 : 5/9
m = 216
M=216
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