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Finding the Fourth Proportional to 419,904,471.15, 586,505,770.65 and 419,904,471.15

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Solution

The fourth proportional to 419,904,471.15, 586,505,770.65 and 419,904,471.15 is: 586,505,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,471.15 : 586,505,770.65 = 419,904,471.15 : x
  2. Step 2: Convert to fraction form
    419,904,471.15/586,505,770.65 = 419,904,471.15/x
  3. Step 3: Cross multiply
    419,904,471.15x = 586,505,770.65 × 419,904,471.15
  4. Step 4: Simplify right side
    419,904,471.15x = 246,276,395,451,211,424
  5. Step 5: Solve for x
    x = 246,276,395,451,211,424/419,904,471.15
  6. Step 6: Final answer
    x = 586,505,770.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.