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Finding the Fourth Proportional to 821,177,394.50, 1,132,945,801.52 and 468,500,024.90

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Solution

The fourth proportional to 821,177,394.50, 1,132,945,801.52 and 468,500,024.90 is: 646,370,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,177,394.50 : 1,132,945,801.52 = 468,500,024.90 : x
  2. Step 2: Convert to fraction form
    821,177,394.50/1,132,945,801.52 = 468,500,024.90/x
  3. Step 3: Cross multiply
    821,177,394.50x = 1,132,945,801.52 × 468,500,024.90
  4. Step 4: Simplify right side
    821,177,394.50x = 530,785,136,222,470,400
  5. Step 5: Solve for x
    x = 530,785,136,222,470,400/821,177,394.50
  6. Step 6: Final answer
    x = 646,370,856.99

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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.