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Finding the Fourth Proportional to 291,165,309,964.80, 436,747,964,947.20 and 291,165,309,964.80

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Solution

The fourth proportional to 291,165,309,964.80, 436,747,964,947.20 and 291,165,309,964.80 is: 436,747,964,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,165,309,964.80 : 436,747,964,947.20 = 291,165,309,964.80 : x
  2. Step 2: Convert to fraction form
    291,165,309,964.80/436,747,964,947.20 = 291,165,309,964.80/x
  3. Step 3: Cross multiply
    291,165,309,964.80x = 436,747,964,947.20 × 291,165,309,964.80
  4. Step 4: Simplify right side
    291,165,309,964.80x = 127,165,856,590,347,087,380,480
  5. Step 5: Solve for x
    x = 127,165,856,590,347,087,380,480/291,165,309,964.80
  6. Step 6: Final answer
    x = 436,747,964,947.20

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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.