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Finding the Fourth Proportional to 680,264,517.30, 954,184,309.50 and 680,264,517.30

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Solution

The fourth proportional to 680,264,517.30, 954,184,309.50 and 680,264,517.30 is: 954,184,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,264,517.30 : 954,184,309.50 = 680,264,517.30 : x
  2. Step 2: Convert to fraction form
    680,264,517.30/954,184,309.50 = 680,264,517.30/x
  3. Step 3: Cross multiply
    680,264,517.30x = 954,184,309.50 × 680,264,517.30
  4. Step 4: Simplify right side
    680,264,517.30x = 649,097,728,717,251,200
  5. Step 5: Solve for x
    x = 649,097,728,717,251,200/680,264,517.30
  6. Step 6: Final answer
    x = 954,184,309.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.