Solve the Fraction Equation: 4/9x = 18 to Find X

This linear equation problem can be solved by isolating the variable $x$. Here's how we proceed:

Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of $x$. In this case, the coefficient is $\frac{4}{9}$, so its reciprocal is $\frac{9}{4}$.

$\frac{9}{4} \times \frac{4}{9} x = 18 \times \frac{9}{4}$

This simplifies to:

$x = \frac{9}{4} \times 18$

Step 2: Perform the multiplication on the right side of the equation.

$x = \frac{9 \times 18}{4}$

Simplify the expression:

$x = \frac{162}{4}$

$x = 40.5$

Therefore, the value of $x$ that satisfies the equation is $40.5$.