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Finding the Fourth Proportional to 419,904,552.30, 628,723,087.65 and 419,904,552.30

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Solution

The fourth proportional to 419,904,552.30, 628,723,087.65 and 419,904,552.30 is: 628,723,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,552.30 : 628,723,087.65 = 419,904,552.30 : x
  2. Step 2: Convert to fraction form
    419,904,552.30/628,723,087.65 = 419,904,552.30/x
  3. Step 3: Cross multiply
    419,904,552.30x = 628,723,087.65 × 419,904,552.30
  4. Step 4: Simplify right side
    419,904,552.30x = 264,003,686,640,346,912
  5. Step 5: Solve for x
    x = 264,003,686,640,346,912/419,904,552.30
  6. Step 6: Final answer
    x = 628,723,087.65

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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.