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Finding the Fourth Proportional to 275,040,441.60, 412,418,944.80 and 102,428,404.80

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Solution

The fourth proportional to 275,040,441.60, 412,418,944.80 and 102,428,404.80 is: 153,589,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,040,441.60 : 412,418,944.80 = 102,428,404.80 : x
  2. Step 2: Convert to fraction form
    275,040,441.60/412,418,944.80 = 102,428,404.80/x
  3. Step 3: Cross multiply
    275,040,441.60x = 412,418,944.80 × 102,428,404.80
  4. Step 4: Simplify right side
    275,040,441.60x = 42,243,414,625,163,256
  5. Step 5: Solve for x
    x = 42,243,414,625,163,256/275,040,441.60
  6. Step 6: Final answer
    x = 153,589,829.84

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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.