The approximate areas of Kentucky and Rhode Island are listed below:

The areas of both Kentucky and Rhode Island are approximately \(4 \times 10^3\) square kilometers.

To find how many times larger Kentucky is than Rhode Island, you can divide the area of Kentucky by the area of Rhode Island:

\[
\text{Size Ratio} = \frac{\text{Area of Kentucky}}{\text{Area of Rhode Island}} = \frac{4 \times 10^3}{4 \times 10^3} = 1
\]

Thus, Kentucky is 1 time larger than Rhode Island.

In standard notation, rounded to the nearest tenth, the answer is:

\[
\boxed{1.0}
\]