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Finding the Fourth Proportional to 314,928,297.90, 472,392,446.85 and 238,400,793.90

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Solution

The fourth proportional to 314,928,297.90, 472,392,446.85 and 238,400,793.90 is: 357,601,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,297.90 : 472,392,446.85 = 238,400,793.90 : x
  2. Step 2: Convert to fraction form
    314,928,297.90/472,392,446.85 = 238,400,793.90/x
  3. Step 3: Cross multiply
    314,928,297.90x = 472,392,446.85 × 238,400,793.90
  4. Step 4: Simplify right side
    314,928,297.90x = 112,618,734,361,403,568
  5. Step 5: Solve for x
    x = 112,618,734,361,403,568/314,928,297.90
  6. Step 6: Final answer
    x = 357,601,190.85

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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.