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Finding the Fourth Proportional to 485,500,615,998.40, 728,250,923,997.60 and 485,500,615,998.40

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Solution

The fourth proportional to 485,500,615,998.40, 728,250,923,997.60 and 485,500,615,998.40 is: 728,250,923,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,500,615,998.40 : 728,250,923,997.60 = 485,500,615,998.40 : x
  2. Step 2: Convert to fraction form
    485,500,615,998.40/728,250,923,997.60 = 485,500,615,998.40/x
  3. Step 3: Cross multiply
    485,500,615,998.40x = 728,250,923,997.60 × 485,500,615,998.40
  4. Step 4: Simplify right side
    485,500,615,998.40x = 353,566,272,202,238,792,302,592
  5. Step 5: Solve for x
    x = 353,566,272,202,238,792,302,592/485,500,615,998.40
  6. Step 6: Final answer
    x = 728,250,923,997.60

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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.