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Finding the Fourth Proportional to 488,722,998.60, 733,084,497.90 and 488,722,998.60

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Solution

The fourth proportional to 488,722,998.60, 733,084,497.90 and 488,722,998.60 is: 733,084,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,722,998.60 : 733,084,497.90 = 488,722,998.60 : x
  2. Step 2: Convert to fraction form
    488,722,998.60/733,084,497.90 = 488,722,998.60/x
  3. Step 3: Cross multiply
    488,722,998.60x = 733,084,497.90 × 488,722,998.60
  4. Step 4: Simplify right side
    488,722,998.60x = 358,275,254,040,863,424
  5. Step 5: Solve for x
    x = 358,275,254,040,863,424/488,722,998.60
  6. Step 6: Final answer
    x = 733,084,497.90

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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.