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Finding the Fourth Proportional to 482,711,796.80, 724,067,695.20 and 176,013,915.20

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Solution

The fourth proportional to 482,711,796.80, 724,067,695.20 and 176,013,915.20 is: 264,020,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,711,796.80 : 724,067,695.20 = 176,013,915.20 : x
  2. Step 2: Convert to fraction form
    482,711,796.80/724,067,695.20 = 176,013,915.20/x
  3. Step 3: Cross multiply
    482,711,796.80x = 724,067,695.20 × 176,013,915.20
  4. Step 4: Simplify right side
    482,711,796.80x = 127,445,989,901,992,240
  5. Step 5: Solve for x
    x = 127,445,989,901,992,240/482,711,796.80
  6. Step 6: Final answer
    x = 264,020,872.80

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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.