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Finding the Fourth Proportional to 578,499,941.92, 798,379,155.84 and 327,648,958.24

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Solution

The fourth proportional to 578,499,941.92, 798,379,155.84 and 327,648,958.24 is: 452,183,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,499,941.92 : 798,379,155.84 = 327,648,958.24 : x
  2. Step 2: Convert to fraction form
    578,499,941.92/798,379,155.84 = 327,648,958.24/x
  3. Step 3: Cross multiply
    578,499,941.92x = 798,379,155.84 × 327,648,958.24
  4. Step 4: Simplify right side
    578,499,941.92x = 261,588,098,691,506,624
  5. Step 5: Solve for x
    x = 261,588,098,691,506,624/578,499,941.92
  6. Step 6: Final answer
    x = 452,183,448.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.