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Finding the Fourth Proportional to 279,936,280.16, 419,904,420.52 and 279,936,280.16

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Solution

The fourth proportional to 279,936,280.16, 419,904,420.52 and 279,936,280.16 is: 419,904,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,280.16 : 419,904,420.52 = 279,936,280.16 : x
  2. Step 2: Convert to fraction form
    279,936,280.16/419,904,420.52 = 279,936,280.16/x
  3. Step 3: Cross multiply
    279,936,280.16x = 419,904,420.52 × 279,936,280.16
  4. Step 4: Simplify right side
    279,936,280.16x = 117,546,481,503,109,184
  5. Step 5: Solve for x
    x = 117,546,481,503,109,184/279,936,280.16
  6. Step 6: Final answer
    x = 419,904,420.52

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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.