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Finding the Fourth Proportional to 419,904,531.30, 628,723,056.15 and 419,904,531.30

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Solution

The fourth proportional to 419,904,531.30, 628,723,056.15 and 419,904,531.30 is: 628,723,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,531.30 : 628,723,056.15 = 419,904,531.30 : x
  2. Step 2: Convert to fraction form
    419,904,531.30/628,723,056.15 = 419,904,531.30/x
  3. Step 3: Cross multiply
    419,904,531.30x = 628,723,056.15 × 419,904,531.30
  4. Step 4: Simplify right side
    419,904,531.30x = 264,003,660,210,169,344
  5. Step 5: Solve for x
    x = 264,003,660,210,169,344/419,904,531.30
  6. Step 6: Final answer
    x = 628,723,056.15

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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.