Finding the Fourth Proportional to 159,225,393,260.17, 238,871,633,306.68 and 51,651,264,737.19
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Solution
The fourth proportional to 159,225,393,260.17, 238,871,633,306.68 and 51,651,264,737.19 is: 77,487,778,284.01
Step by Step Solution
- Step 1: Write the proportion equation
159,225,393,260.17 : 238,871,633,306.68 = 51,651,264,737.19 : x - Step 2: Convert to fraction form
159,225,393,260.17/238,871,633,306.68 = 51,651,264,737.19/x - Step 3: Cross multiply
159,225,393,260.17x = 238,871,633,306.68 × 51,651,264,737.19 - Step 4: Simplify right side
159,225,393,260.17x = 12,338,021,970,128,301,719,552 - Step 5: Solve for x
x = 12,338,021,970,128,301,719,552/159,225,393,260.17 - Step 6: Final answer
x = 77,487,778,284.01
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.