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Finding the Fourth Proportional to 279,936,404.80, 419,904,607.20 and 259,529,070.40

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Solution

The fourth proportional to 279,936,404.80, 419,904,607.20 and 259,529,070.40 is: 389,293,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,404.80 : 419,904,607.20 = 259,529,070.40 : x
  2. Step 2: Convert to fraction form
    279,936,404.80/419,904,607.20 = 259,529,070.40/x
  3. Step 3: Cross multiply
    279,936,404.80x = 419,904,607.20 × 259,529,070.40
  4. Step 4: Simplify right side
    279,936,404.80x = 108,977,452,363,293,152
  5. Step 5: Solve for x
    x = 108,977,452,363,293,152/279,936,404.80
  6. Step 6: Final answer
    x = 389,293,605.60

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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.