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Finding the Fourth Proportional to 419,904,477.60, 629,856,716.40 and 419,904,477.60

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Solution

The fourth proportional to 419,904,477.60, 629,856,716.40 and 419,904,477.60 is: 629,856,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,477.60 : 629,856,716.40 = 419,904,477.60 : x
  2. Step 2: Convert to fraction form
    419,904,477.60/629,856,716.40 = 419,904,477.60/x
  3. Step 3: Cross multiply
    419,904,477.60x = 629,856,716.40 × 419,904,477.60
  4. Step 4: Simplify right side
    419,904,477.60x = 264,479,655,462,793,344
  5. Step 5: Solve for x
    x = 264,479,655,462,793,344/419,904,477.60
  6. Step 6: Final answer
    x = 629,856,716.40

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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.