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Finding the Fourth Proportional to 106,563,009.90, 149,339,379.30 and 106,563,009.90

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Solution

The fourth proportional to 106,563,009.90, 149,339,379.30 and 106,563,009.90 is: 149,339,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563,009.90 : 149,339,379.30 = 106,563,009.90 : x
  2. Step 2: Convert to fraction form
    106,563,009.90/149,339,379.30 = 106,563,009.90/x
  3. Step 3: Cross multiply
    106,563,009.90x = 149,339,379.30 × 106,563,009.90
  4. Step 4: Simplify right side
    106,563,009.90x = 15,914,053,754,805,758
  5. Step 5: Solve for x
    x = 15,914,053,754,805,758/106,563,009.90
  6. Step 6: Final answer
    x = 149,339,379.30

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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.