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Finding the Fourth Proportional to 394,892,003.20, 592,338,004.80 and 280,100,747.20

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Solution

The fourth proportional to 394,892,003.20, 592,338,004.80 and 280,100,747.20 is: 420,151,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,892,003.20 : 592,338,004.80 = 280,100,747.20 : x
  2. Step 2: Convert to fraction form
    394,892,003.20/592,338,004.80 = 280,100,747.20/x
  3. Step 3: Cross multiply
    394,892,003.20x = 592,338,004.80 × 280,100,747.20
  4. Step 4: Simplify right side
    394,892,003.20x = 165,914,317,739,437,152
  5. Step 5: Solve for x
    x = 165,914,317,739,437,152/394,892,003.20
  6. Step 6: Final answer
    x = 420,151,120.80

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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.