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Finding the Fourth Proportional to 408,726,802.20, 564,780,800.54 and 291,047,829.58

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Solution

The fourth proportional to 408,726,802.20, 564,780,800.54 and 291,047,829.58 is: 402,171,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,726,802.20 : 564,780,800.54 = 291,047,829.58 : x
  2. Step 2: Convert to fraction form
    408,726,802.20/564,780,800.54 = 291,047,829.58/x
  3. Step 3: Cross multiply
    408,726,802.20x = 564,780,800.54 × 291,047,829.58
  4. Step 4: Simplify right side
    408,726,802.20x = 164,378,226,185,425,632
  5. Step 5: Solve for x
    x = 164,378,226,185,425,632/408,726,802.20
  6. Step 6: Final answer
    x = 402,171,390.03

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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.