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Finding the Fourth Proportional to 3,520,512,099.70, 5,280,768,149.55 and 3,520,512,099.70

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Solution

The fourth proportional to 3,520,512,099.70, 5,280,768,149.55 and 3,520,512,099.70 is: 5,280,768,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520,512,099.70 : 5,280,768,149.55 = 3,520,512,099.70 : x
  2. Step 2: Convert to fraction form
    3,520,512,099.70/5,280,768,149.55 = 3,520,512,099.70/x
  3. Step 3: Cross multiply
    3,520,512,099.70x = 5,280,768,149.55 × 3,520,512,099.70
  4. Step 4: Simplify right side
    3,520,512,099.70x = 18,591,008,166,201,155,584
  5. Step 5: Solve for x
    x = 18,591,008,166,201,155,584/3,520,512,099.70
  6. Step 6: Final answer
    x = 5,280,768,149.55

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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.