To solve the equation \(\frac{8}{9} = \frac{x}{27}\), we need to find the value of \(x\).
We can use the property of proportions, which states that for \(\frac{a}{b} = \frac{c}{d}\), the cross products are equal, i.e., \(a \cdot d = b \cdot c\).
In this case, \(a = 8\), \(b = 9\), \(c = x\), and \(d = 27\).
So, we set up the equation:
\[ 8 \cdot 27 = 9 \cdot x \]
Now, we solve for \(x\):
\[ 216 = 9x \]
Divide both sides by 9:
\[ x = \frac{216}{9} \]
\[ x = 24 \]
Therefore, \(\frac{8}{9} = \frac{24}{27}\).
8/9 = ?/27
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