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Finding the Fourth Proportional to 315,540,023.20, 472,414,239.60 and 315,540,023.20

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Solution

The fourth proportional to 315,540,023.20, 472,414,239.60 and 315,540,023.20 is: 472,414,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,540,023.20 : 472,414,239.60 = 315,540,023.20 : x
  2. Step 2: Convert to fraction form
    315,540,023.20/472,414,239.60 = 315,540,023.20/x
  3. Step 3: Cross multiply
    315,540,023.20x = 472,414,239.60 × 315,540,023.20
  4. Step 4: Simplify right side
    315,540,023.20x = 149,065,600,123,394,368
  5. Step 5: Solve for x
    x = 149,065,600,123,394,368/315,540,023.20
  6. Step 6: Final answer
    x = 472,414,239.60

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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.