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Finding the Fourth Proportional to 821,177,398.50, 1,132,945,807.02 and 468,500,028.90

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Solution

The fourth proportional to 821,177,398.50, 1,132,945,807.02 and 468,500,028.90 is: 646,370,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,177,398.50 : 1,132,945,807.02 = 468,500,028.90 : x
  2. Step 2: Convert to fraction form
    821,177,398.50/1,132,945,807.02 = 468,500,028.90/x
  3. Step 3: Cross multiply
    821,177,398.50x = 1,132,945,807.02 × 468,500,028.90
  4. Step 4: Simplify right side
    821,177,398.50x = 530,785,143,331,003,776
  5. Step 5: Solve for x
    x = 530,785,143,331,003,776/821,177,398.50
  6. Step 6: Final answer
    x = 646,370,862.50

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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.