Reciprocal Value Calculation

We are given the value of a reciprocal:

$ \frac{1}{36.18} = 0.0276 $

We need to find the value of $\frac{1}{0.0003618}$.

Relating Denominators

Let's express the second denominator ($0.0003618$) in terms of the first denominator ($36.18$).

Observe that $0.0003618$ can be written as $36.18 \times 10^{-5}$. This is because moving the decimal point 5 places to the right in $0.0003618$ gives $36.18$.

Therefore, $0.0003618 = \frac{36.18}{10^5}$.

Calculating the Reciprocal

Now substitute this into the expression we need to evaluate:

$ \frac{1}{0.0003618} = \frac{1}{\frac{36.18}{10^5}} $

Using the property of fractions $\frac{1}{a/b} = \frac{b}{a}$, we get:

$ \frac{10^5}{36.18} $

This can be rewritten as:

$ 10^5 \times \frac{1}{36.18} $

We know that $\frac{1}{36.18} = 0.0276$. Substitute this value:

$ 10^5 \times 0.0276 $

Calculate the final value:

$ 100000 \times 0.0276 = 2760 $

Final Answer

The value of $\frac{1}{0.0003618}$ is 2760.