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Finding the Fourth Proportional to 5,379,924,873,791.80, 8,069,887,310,688 and 5,379,924,873,791.80

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Solution

The fourth proportional to 5,379,924,873,791.80, 8,069,887,310,688 and 5,379,924,873,791.80 is: 8,069,887,310,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379,924,873,791.80 : 8,069,887,310,688 = 5,379,924,873,791.80 : x
  2. Step 2: Convert to fraction form
    5,379,924,873,791.80/8,069,887,310,688 = 5,379,924,873,791.80/x
  3. Step 3: Cross multiply
    5,379,924,873,791.80x = 8,069,887,310,688 × 5,379,924,873,791.80
  4. Step 4: Simplify right side
    5,379,924,873,791.80x = 43,415,387,471,467,184,434,184,192
  5. Step 5: Solve for x
    x = 43,415,387,471,467,184,434,184,192/5,379,924,873,791.80
  6. Step 6: Final answer
    x = 8,069,887,310,688

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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.