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Finding the Fourth Proportional to 409,273,292.00, 613,914,857.90 and 114,150,447.91

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Solution

The fourth proportional to 409,273,292.00, 613,914,857.90 and 114,150,447.91 is: 171,227,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,273,292.00 : 613,914,857.90 = 114,150,447.91 : x
  2. Step 2: Convert to fraction form
    409,273,292.00/613,914,857.90 = 114,150,447.91/x
  3. Step 3: Cross multiply
    409,273,292.00x = 613,914,857.90 × 114,150,447.91
  4. Step 4: Simplify right side
    409,273,292.00x = 70,078,656,010,560,704
  5. Step 5: Solve for x
    x = 70,078,656,010,560,704/409,273,292.00
  6. Step 6: Final answer
    x = 171,227,044.08

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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.