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Finding the Fourth Proportional to 9,659,940.70, 14,489,911.05 and 5,180,964.70

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Solution

The fourth proportional to 9,659,940.70, 14,489,911.05 and 5,180,964.70 is: 7,771,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,940.70 : 14,489,911.05 = 5,180,964.70 : x
  2. Step 2: Convert to fraction form
    9,659,940.70/14,489,911.05 = 5,180,964.70/x
  3. Step 3: Cross multiply
    9,659,940.70x = 14,489,911.05 × 5,180,964.70
  4. Step 4: Simplify right side
    9,659,940.70x = 75,071,717,656,189.94
  5. Step 5: Solve for x
    x = 75,071,717,656,189.94/9,659,940.70
  6. Step 6: Final answer
    x = 7,771,447.05

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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.