Finding the Fourth Proportional to 19,896,561,321.05, 27,457,387,362.68 and 10,864,382,141.92
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Solution
The fourth proportional to 19,896,561,321.05, 27,457,387,362.68 and 10,864,382,141.92 is: 14,992,919,837.42
Step by Step Solution
- Step 1: Write the proportion equation
19,896,561,321.05 : 27,457,387,362.68 = 10,864,382,141.92 : x - Step 2: Convert to fraction form
19,896,561,321.05/27,457,387,362.68 = 10,864,382,141.92/x - Step 3: Cross multiply
19,896,561,321.05x = 27,457,387,362.68 × 10,864,382,141.92 - Step 4: Simplify right side
19,896,561,321.05x = 298,307,548,926,880,514,048 - Step 5: Solve for x
x = 298,307,548,926,880,514,048/19,896,561,321.05 - Step 6: Final answer
x = 14,992,919,837.42
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.