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Finding the Fourth Proportional to 5,379,924,873,399.50, 8,069,887,310,099.50 and 5,379,924,873,399.50

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Solution

The fourth proportional to 5,379,924,873,399.50, 8,069,887,310,099.50 and 5,379,924,873,399.50 is: 8,069,887,310,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379,924,873,399.50 : 8,069,887,310,099.50 = 5,379,924,873,399.50 : x
  2. Step 2: Convert to fraction form
    5,379,924,873,399.50/8,069,887,310,099.50 = 5,379,924,873,399.50/x
  3. Step 3: Cross multiply
    5,379,924,873,399.50x = 8,069,887,310,099.50 × 5,379,924,873,399.50
  4. Step 4: Simplify right side
    5,379,924,873,399.50x = 43,415,387,465,135,285,948,383,232
  5. Step 5: Solve for x
    x = 43,415,387,465,135,285,948,383,232/5,379,924,873,399.50
  6. Step 6: Final answer
    x = 8,069,887,310,099.50

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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.