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Finding the Fourth Proportional to 9,693,723.20, 14,540,584.80 and 9,693,723.20

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Solution

The fourth proportional to 9,693,723.20, 14,540,584.80 and 9,693,723.20 is: 14,540,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,723.20 : 14,540,584.80 = 9,693,723.20 : x
  2. Step 2: Convert to fraction form
    9,693,723.20/14,540,584.80 = 9,693,723.20/x
  3. Step 3: Cross multiply
    9,693,723.20x = 14,540,584.80 × 9,693,723.20
  4. Step 4: Simplify right side
    9,693,723.20x = 140,952,404,217,327.34
  5. Step 5: Solve for x
    x = 140,952,404,217,327.34/9,693,723.20
  6. Step 6: Final answer
    x = 14,540,584.80

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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.