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Finding the Fourth Proportional to 512,542,327.80, 768,738,842.10 and 148,998,775.80

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Solution

The fourth proportional to 512,542,327.80, 768,738,842.10 and 148,998,775.80 is: 223,476,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,542,327.80 : 768,738,842.10 = 148,998,775.80 : x
  2. Step 2: Convert to fraction form
    512,542,327.80/768,738,842.10 = 148,998,775.80/x
  3. Step 3: Cross multiply
    512,542,327.80x = 768,738,842.10 × 148,998,775.80
  4. Step 4: Simplify right side
    512,542,327.80x = 114,541,146,382,809,520
  5. Step 5: Solve for x
    x = 114,541,146,382,809,520/512,542,327.80
  6. Step 6: Final answer
    x = 223,476,462.66

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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.