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Finding the Fourth Proportional to 512,493,740.40, 768,740,610.60 and 426,329,439.60

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Solution

The fourth proportional to 512,493,740.40, 768,740,610.60 and 426,329,439.60 is: 639,494,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,493,740.40 : 768,740,610.60 = 426,329,439.60 : x
  2. Step 2: Convert to fraction form
    512,493,740.40/768,740,610.60 = 426,329,439.60/x
  3. Step 3: Cross multiply
    512,493,740.40x = 768,740,610.60 × 426,329,439.60
  4. Step 4: Simplify right side
    512,493,740.40x = 327,736,753,714,859,840
  5. Step 5: Solve for x
    x = 327,736,753,714,859,840/512,493,740.40
  6. Step 6: Final answer
    x = 639,494,159.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.