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Finding the Fourth Proportional to 667,057,692.96, 920,002,861.44 and 586,417,263.48

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Solution

The fourth proportional to 667,057,692.96, 920,002,861.44 and 586,417,263.48 is: 808,783,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,057,692.96 : 920,002,861.44 = 586,417,263.48 : x
  2. Step 2: Convert to fraction form
    667,057,692.96/920,002,861.44 = 586,417,263.48/x
  3. Step 3: Cross multiply
    667,057,692.96x = 920,002,861.44 × 586,417,263.48
  4. Step 4: Simplify right side
    667,057,692.96x = 539,505,560,399,414,464
  5. Step 5: Solve for x
    x = 539,505,560,399,414,464/667,057,692.96
  6. Step 6: Final answer
    x = 808,783,956.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.