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Finding the Fourth Proportional to 442,488,647.52, 664,593,424.56 and 360,667,553.76

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Solution

The fourth proportional to 442,488,647.52, 664,593,424.56 and 360,667,553.76 is: 541,702,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,488,647.52 : 664,593,424.56 = 360,667,553.76 : x
  2. Step 2: Convert to fraction form
    442,488,647.52/664,593,424.56 = 360,667,553.76/x
  3. Step 3: Cross multiply
    442,488,647.52x = 664,593,424.56 × 360,667,553.76
  4. Step 4: Simplify right side
    442,488,647.52x = 239,697,284,681,036,288
  5. Step 5: Solve for x
    x = 239,697,284,681,036,288/442,488,647.52
  6. Step 6: Final answer
    x = 541,702,676.50

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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.