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Finding the Fourth Proportional to 509,967,296.40, 764,950,944.60 and 165,168,375.60

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Solution

The fourth proportional to 509,967,296.40, 764,950,944.60 and 165,168,375.60 is: 247,752,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,967,296.40 : 764,950,944.60 = 165,168,375.60 : x
  2. Step 2: Convert to fraction form
    509,967,296.40/764,950,944.60 = 165,168,375.60/x
  3. Step 3: Cross multiply
    509,967,296.40x = 764,950,944.60 × 165,168,375.60
  4. Step 4: Simplify right side
    509,967,296.40x = 126,345,704,933,267,584
  5. Step 5: Solve for x
    x = 126,345,704,933,267,584/509,967,296.40
  6. Step 6: Final answer
    x = 247,752,563.40

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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.