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Finding the Fourth Proportional to 3,875,223,200.40, 5,812,834,800.60 and 3,875,223,200.40

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Solution

The fourth proportional to 3,875,223,200.40, 5,812,834,800.60 and 3,875,223,200.40 is: 5,812,834,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875,223,200.40 : 5,812,834,800.60 = 3,875,223,200.40 : x
  2. Step 2: Convert to fraction form
    3,875,223,200.40/5,812,834,800.60 = 3,875,223,200.40/x
  3. Step 3: Cross multiply
    3,875,223,200.40x = 5,812,834,800.60 × 3,875,223,200.40
  4. Step 4: Simplify right side
    3,875,223,200.40x = 22,526,032,279,377,629,184
  5. Step 5: Solve for x
    x = 22,526,032,279,377,629,184/3,875,223,200.40
  6. Step 6: Final answer
    x = 5,812,834,800.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.