If `(1)/(4.263)=0.2346`, find the value of `(1)/(0.0004263)`.

Options

A. 2.346
B. 2346
C. 4263
D. 4.263

Answer

To find the value of \( \frac{1}{0.0004263} \) given that \( \frac{1}{4.263} = 0.2346 \), we can follow these steps:

### Step 1: Understand the relationship between the two fractions
We know that:
\[ \frac{1}{4.263} = 0.2346 \]
We need to find \( \frac{1}{0.0004263} \).

### Step 2: Relate \( 0.0004263 \) to \( 4.263 \)
Notice that:
\[ 0.0004263 = \frac{4.263}{10000} \]
This means that \( 0.0004263 \) is \( 4.263 \) divided by \( 10000 \).

### Step 3: Use the property of fractions
Using the property of fractions, we can express \( \frac{1}{0.0004263} \) as:
\[ \frac{1}{0.0004263} = \frac{1}{\frac{4.263}{10000}} = \frac{10000}{4.263} \]

### Step 4: Substitute the known value
Now, we can substitute the known value of \( \frac{1}{4.263} \):
\[ \frac{10000}{4.263} = 10000 \times \frac{1}{4.263} = 10000 \times 0.2346 \]

### Step 5: Calculate the final value
Now, we calculate:
\[ 10000 \times 0.2346 = 2346 \]

### Final Answer
Thus, the value of \( \frac{1}{0.0004263} \) is:
\[ \boxed{2346} \]