Finding the Fourth Proportional to 49,727,897,122.66, 74,564,605,180.78 and 24,490,115,780.18
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Solution
The fourth proportional to 49,727,897,122.66, 74,564,605,180.78 and 24,490,115,780.18 is: 36,721,758,200.96
Step by Step Solution
- Step 1: Write the proportion equation
49,727,897,122.66 : 74,564,605,180.78 = 24,490,115,780.18 : x - Step 2: Convert to fraction form
49,727,897,122.66/74,564,605,180.78 = 24,490,115,780.18/x - Step 3: Cross multiply
49,727,897,122.66x = 74,564,605,180.78 × 24,490,115,780.18 - Step 4: Simplify right side
49,727,897,122.66x = 1,826,095,813,980,711,550,976 - Step 5: Solve for x
x = 1,826,095,813,980,711,550,976/49,727,897,122.66 - Step 6: Final answer
x = 36,721,758,200.96
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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.