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Finding the Fourth Proportional to 10,099,697.80, 14,175,449.19 and 10,099,697.80

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Solution

The fourth proportional to 10,099,697.80, 14,175,449.19 and 10,099,697.80 is: 14,175,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099,697.80 : 14,175,449.19 = 10,099,697.80 : x
  2. Step 2: Convert to fraction form
    10,099,697.80/14,175,449.19 = 10,099,697.80/x
  3. Step 3: Cross multiply
    10,099,697.80x = 14,175,449.19 × 10,099,697.80
  4. Step 4: Simplify right side
    10,099,697.80x = 143,167,752,998,254.78
  5. Step 5: Solve for x
    x = 143,167,752,998,254.78/10,099,697.80
  6. Step 6: Final answer
    x = 14,175,449.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.