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Finding the Fourth Proportional to 106,284,791.20, 159,143,751.60 and 106,284,791.20

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Solution

The fourth proportional to 106,284,791.20, 159,143,751.60 and 106,284,791.20 is: 159,143,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,284,791.20 : 159,143,751.60 = 106,284,791.20 : x
  2. Step 2: Convert to fraction form
    106,284,791.20/159,143,751.60 = 106,284,791.20/x
  3. Step 3: Cross multiply
    106,284,791.20x = 159,143,751.60 × 106,284,791.20
  4. Step 4: Simplify right side
    106,284,791.20x = 16,914,560,409,590,666
  5. Step 5: Solve for x
    x = 16,914,560,409,590,666/106,284,791.20
  6. Step 6: Final answer
    x = 159,143,751.60

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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.