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Finding the Fourth Proportional to 341,612,697.60, 512,485,401.60 and 147,523,737.60

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Solution

The fourth proportional to 341,612,697.60, 512,485,401.60 and 147,523,737.60 is: 221,314,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,612,697.60 : 512,485,401.60 = 147,523,737.60 : x
  2. Step 2: Convert to fraction form
    341,612,697.60/512,485,401.60 = 147,523,737.60/x
  3. Step 3: Cross multiply
    341,612,697.60x = 512,485,401.60 × 147,523,737.60
  4. Step 4: Simplify right side
    341,612,697.60x = 75,603,761,909,469,024
  5. Step 5: Solve for x
    x = 75,603,761,909,469,024/341,612,697.60
  6. Step 6: Final answer
    x = 221,314,261.56

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Why These Related Problems?

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