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Finding the Fourth Proportional to 680,264,462.80, 954,184,233.20 and 680,264,462.80

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Solution

The fourth proportional to 680,264,462.80, 954,184,233.20 and 680,264,462.80 is: 954,184,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,264,462.80 : 954,184,233.20 = 680,264,462.80 : x
  2. Step 2: Convert to fraction form
    680,264,462.80/954,184,233.20 = 680,264,462.80/x
  3. Step 3: Cross multiply
    680,264,462.80x = 954,184,233.20 × 680,264,462.80
  4. Step 4: Simplify right side
    680,264,462.80x = 649,097,624,810,027,904
  5. Step 5: Solve for x
    x = 649,097,624,810,027,904/680,264,462.80
  6. Step 6: Final answer
    x = 954,184,233.20

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