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Finding the Fourth Proportional to 9,713,098.10, 13,618,243.90 and 9,713,098.10

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Solution

The fourth proportional to 9,713,098.10, 13,618,243.90 and 9,713,098.10 is: 13,618,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,098.10 : 13,618,243.90 = 9,713,098.10 : x
  2. Step 2: Convert to fraction form
    9,713,098.10/13,618,243.90 = 9,713,098.10/x
  3. Step 3: Cross multiply
    9,713,098.10x = 13,618,243.90 × 9,713,098.10
  4. Step 4: Simplify right side
    9,713,098.10x = 132,275,338,950,426.59
  5. Step 5: Solve for x
    x = 132,275,338,950,426.59/9,713,098.10
  6. Step 6: Final answer
    x = 13,618,243.90

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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.