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Finding the Fourth Proportional to 497,666,564.90, 746,499,847.35 and 255,353,963.30

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Solution

The fourth proportional to 497,666,564.90, 746,499,847.35 and 255,353,963.30 is: 383,030,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,564.90 : 746,499,847.35 = 255,353,963.30 : x
  2. Step 2: Convert to fraction form
    497,666,564.90/746,499,847.35 = 255,353,963.30/x
  3. Step 3: Cross multiply
    497,666,564.90x = 746,499,847.35 × 255,353,963.30
  4. Step 4: Simplify right side
    497,666,564.90x = 190,621,694,623,667,520
  5. Step 5: Solve for x
    x = 190,621,694,623,667,520/497,666,564.90
  6. Step 6: Final answer
    x = 383,030,944.95

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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.