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Finding the Fourth Proportional to 279,936,309.60, 419,904,464.40 and 240,969,218.40

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Solution

The fourth proportional to 279,936,309.60, 419,904,464.40 and 240,969,218.40 is: 361,453,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,309.60 : 419,904,464.40 = 240,969,218.40 : x
  2. Step 2: Convert to fraction form
    279,936,309.60/419,904,464.40 = 240,969,218.40/x
  3. Step 3: Cross multiply
    279,936,309.60x = 419,904,464.40 × 240,969,218.40
  4. Step 4: Simplify right side
    279,936,309.60x = 101,184,050,589,138,624
  5. Step 5: Solve for x
    x = 101,184,050,589,138,624/279,936,309.60
  6. Step 6: Final answer
    x = 361,453,827.60

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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.