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Finding the Fourth Proportional to 919,331,522,793.90, 1,378,997,284,190.90 and 919,331,522,793.90

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Solution

The fourth proportional to 919,331,522,793.90, 1,378,997,284,190.90 and 919,331,522,793.90 is: 1,378,997,284,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,331,522,793.90 : 1,378,997,284,190.90 = 919,331,522,793.90 : x
  2. Step 2: Convert to fraction form
    919,331,522,793.90/1,378,997,284,190.90 = 919,331,522,793.90/x
  3. Step 3: Cross multiply
    919,331,522,793.90x = 1,378,997,284,190.90 × 919,331,522,793.90
  4. Step 4: Simplify right side
    919,331,522,793.90x = 1,267,755,673,203,872,507,101,184
  5. Step 5: Solve for x
    x = 1,267,755,673,203,872,507,101,184/919,331,522,793.90
  6. Step 6: Final answer
    x = 1,378,997,284,190.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.