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Finding the Fourth Proportional to 485,309,693.10, 727,964,539.65 and 485,309,693.10

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Solution

The fourth proportional to 485,309,693.10, 727,964,539.65 and 485,309,693.10 is: 727,964,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,309,693.10 : 727,964,539.65 = 485,309,693.10 : x
  2. Step 2: Convert to fraction form
    485,309,693.10/727,964,539.65 = 485,309,693.10/x
  3. Step 3: Cross multiply
    485,309,693.10x = 727,964,539.65 × 485,309,693.10
  4. Step 4: Simplify right side
    485,309,693.10x = 353,288,247,325,224,256
  5. Step 5: Solve for x
    x = 353,288,247,325,224,256/485,309,693.10
  6. Step 6: Final answer
    x = 727,964,539.65

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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.