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Finding the Fourth Proportional to 11,978,304.40, 17,968,234.20 and 6,309,600.40

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Solution

The fourth proportional to 11,978,304.40, 17,968,234.20 and 6,309,600.40 is: 9,464,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978,304.40 : 17,968,234.20 = 6,309,600.40 : x
  2. Step 2: Convert to fraction form
    11,978,304.40/17,968,234.20 = 6,309,600.40/x
  3. Step 3: Cross multiply
    11,978,304.40x = 17,968,234.20 × 6,309,600.40
  4. Step 4: Simplify right side
    11,978,304.40x = 113,372,377,695,613.69
  5. Step 5: Solve for x
    x = 113,372,377,695,613.69/11,978,304.40
  6. Step 6: Final answer
    x = 9,464,810.20

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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.