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Finding the Fourth Proportional to 498,967,972.64, 688,499,306.08 and 287,233,875.32

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Solution

The fourth proportional to 498,967,972.64, 688,499,306.08 and 287,233,875.32 is: 396,338,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,967,972.64 : 688,499,306.08 = 287,233,875.32 : x
  2. Step 2: Convert to fraction form
    498,967,972.64/688,499,306.08 = 287,233,875.32/x
  3. Step 3: Cross multiply
    498,967,972.64x = 688,499,306.08 × 287,233,875.32
  4. Step 4: Simplify right side
    498,967,972.64x = 197,760,323,840,489,248
  5. Step 5: Solve for x
    x = 197,760,323,840,489,248/498,967,972.64
  6. Step 6: Final answer
    x = 396,338,712.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.