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Finding the Fourth Proportional to 9,713,115.10, 13,618,267.70 and 9,713,115.10

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Solution

The fourth proportional to 9,713,115.10, 13,618,267.70 and 9,713,115.10 is: 13,618,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,115.10 : 13,618,267.70 = 9,713,115.10 : x
  2. Step 2: Convert to fraction form
    9,713,115.10/13,618,267.70 = 9,713,115.10/x
  3. Step 3: Cross multiply
    9,713,115.10x = 13,618,267.70 × 9,713,115.10
  4. Step 4: Simplify right side
    9,713,115.10x = 132,275,801,632,712.25
  5. Step 5: Solve for x
    x = 132,275,801,632,712.25/9,713,115.10
  6. Step 6: Final answer
    x = 13,618,267.70

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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.