Finding the Fourth Proportional to 20,727,428,371,204, 28,604,750,293,174 and 11,478,412,671,642
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Solution
The fourth proportional to 20,727,428,371,204, 28,604,750,293,174 and 11,478,412,671,642 is: 15,840,707,412,139.59
Step by Step Solution
- Step 1: Write the proportion equation
20,727,428,371,204 : 28,604,750,293,174 = 11,478,412,671,642 : x - Step 2: Convert to fraction form
20,727,428,371,204/28,604,750,293,174 = 11,478,412,671,642/x - Step 3: Cross multiply
20,727,428,371,204x = 28,604,750,293,174 × 11,478,412,671,642 - Step 4: Simplify right side
20,727,428,371,204x = 328,337,128,234,323,640,145,936,384 - Step 5: Solve for x
x = 328,337,128,234,323,640,145,936,384/20,727,428,371,204 - Step 6: Final answer
x = 15,840,707,412,139.59
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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.