Finding the Fourth Proportional to 30,613,517,013.09, 42,246,653,127.08 and 16,532,456,277.09
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Solution
The fourth proportional to 30,613,517,013.09, 42,246,653,127.08 and 16,532,456,277.09 is: 22,814,789,472.84
Step by Step Solution
- Step 1: Write the proportion equation
30,613,517,013.09 : 42,246,653,127.08 = 16,532,456,277.09 : x - Step 2: Convert to fraction form
30,613,517,013.09/42,246,653,127.08 = 16,532,456,277.09/x - Step 3: Cross multiply
30,613,517,013.09x = 42,246,653,127.08 × 16,532,456,277.09 - Step 4: Simplify right side
30,613,517,013.09x = 698,440,945,676,754,878,464 - Step 5: Solve for x
x = 698,440,945,676,754,878,464/30,613,517,013.09 - Step 6: Final answer
x = 22,814,789,472.84
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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.