If `(256)/(0.256) = (25.6)/(x)`, what will be the value of x ?

Options

A. A) 2.56
B. B) 25.6
C. C) 0.256
D. D) 0.0256

Answer

To solve the equation \( \frac{256}{0.256} = \frac{25.6}{x} \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \frac{256}{0.256} = \frac{25.6}{x} \]

### Step 2: Cross-multiply
Cross-multiplying gives us:
\[ 256 \cdot x = 25.6 \cdot 0.256 \]

### Step 3: Calculate \( 25.6 \cdot 0.256 \)
Now, we need to calculate \( 25.6 \cdot 0.256 \):
\[ 25.6 \cdot 0.256 = 6.5536 \]

### Step 4: Substitute back into the equation
Substituting back, we have:
\[ 256x = 6.5536 \]

### Step 5: Solve for \( x \)
To find \( x \), we divide both sides by 256:
\[ x = \frac{6.5536}{256} \]

### Step 6: Perform the division
Now we perform the division:
\[ x = 0.0256 \]

### Final Answer
Thus, the value of \( x \) is:
\[ \boxed{0.0256} \]