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Finding the Fourth Proportional to 512,205,692.70, 768,256,832.49 and 347,268,229.68

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Solution

The fourth proportional to 512,205,692.70, 768,256,832.49 and 347,268,229.68 is: 520,867,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,205,692.70 : 768,256,832.49 = 347,268,229.68 : x
  2. Step 2: Convert to fraction form
    512,205,692.70/768,256,832.49 = 347,268,229.68/x
  3. Step 3: Cross multiply
    512,205,692.70x = 768,256,832.49 × 347,268,229.68
  4. Step 4: Simplify right side
    512,205,692.70x = 266,791,190,158,366,624
  5. Step 5: Solve for x
    x = 266,791,190,158,366,624/512,205,692.70
  6. Step 6: Final answer
    x = 520,867,288.20

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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.