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Finding the Fourth Proportional to 543,504,903.60, 814,300,761.60 and 466,977,399.60

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Solution

The fourth proportional to 543,504,903.60, 814,300,761.60 and 466,977,399.60 is: 699,644,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,504,903.60 : 814,300,761.60 = 466,977,399.60 : x
  2. Step 2: Convert to fraction form
    543,504,903.60/814,300,761.60 = 466,977,399.60/x
  3. Step 3: Cross multiply
    543,504,903.60x = 814,300,761.60 × 466,977,399.60
  4. Step 4: Simplify right side
    543,504,903.60x = 380,260,052,144,267,584
  5. Step 5: Solve for x
    x = 380,260,052,144,267,584/543,504,903.60
  6. Step 6: Final answer
    x = 699,644,197.55

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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.