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Finding the Fourth Proportional to 40,329,127,981.90, 60,493,691,972.85 and 40,329,127,981.90

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Solution

The fourth proportional to 40,329,127,981.90, 60,493,691,972.85 and 40,329,127,981.90 is: 60,493,691,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,329,127,981.90 : 60,493,691,972.85 = 40,329,127,981.90 : x
  2. Step 2: Convert to fraction form
    40,329,127,981.90/60,493,691,972.85 = 40,329,127,981.90/x
  3. Step 3: Cross multiply
    40,329,127,981.90x = 60,493,691,972.85 × 40,329,127,981.90
  4. Step 4: Simplify right side
    40,329,127,981.90x = 2,439,657,845,670,704,316,416
  5. Step 5: Solve for x
    x = 2,439,657,845,670,704,316,416/40,329,127,981.90
  6. Step 6: Final answer
    x = 60,493,691,972.85

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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.