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Finding the Fourth Proportional to 291,165,309,969.30, 436,747,964,953.95 and 291,165,309,969.30

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Solution

The fourth proportional to 291,165,309,969.30, 436,747,964,953.95 and 291,165,309,969.30 is: 436,747,964,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,165,309,969.30 : 436,747,964,953.95 = 291,165,309,969.30 : x
  2. Step 2: Convert to fraction form
    291,165,309,969.30/436,747,964,953.95 = 291,165,309,969.30/x
  3. Step 3: Cross multiply
    291,165,309,969.30x = 436,747,964,953.95 × 291,165,309,969.30
  4. Step 4: Simplify right side
    291,165,309,969.30x = 127,165,856,594,277,821,317,120
  5. Step 5: Solve for x
    x = 127,165,856,594,277,821,317,120/291,165,309,969.30
  6. Step 6: Final answer
    x = 436,747,964,953.95

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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.