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Finding the Fourth Proportional to 574,099,487,999.80, 861,149,231,999.70 and 574,099,487,999.80

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Solution

The fourth proportional to 574,099,487,999.80, 861,149,231,999.70 and 574,099,487,999.80 is: 861,149,231,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,099,487,999.80 : 861,149,231,999.70 = 574,099,487,999.80 : x
  2. Step 2: Convert to fraction form
    574,099,487,999.80/861,149,231,999.70 = 574,099,487,999.80/x
  3. Step 3: Cross multiply
    574,099,487,999.80x = 861,149,231,999.70 × 574,099,487,999.80
  4. Step 4: Simplify right side
    574,099,487,999.80x = 494,385,333,182,448,795,648,000
  5. Step 5: Solve for x
    x = 494,385,333,182,448,795,648,000/574,099,487,999.80
  6. Step 6: Final answer
    x = 861,149,231,999.70

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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.