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Finding the Fourth Proportional to 726,708,608.10, 1,090,062,912.15 and 726,708,608.10

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Solution

The fourth proportional to 726,708,608.10, 1,090,062,912.15 and 726,708,608.10 is: 1,090,062,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,708,608.10 : 1,090,062,912.15 = 726,708,608.10 : x
  2. Step 2: Convert to fraction form
    726,708,608.10/1,090,062,912.15 = 726,708,608.10/x
  3. Step 3: Cross multiply
    726,708,608.10x = 1,090,062,912.15 × 726,708,608.10
  4. Step 4: Simplify right side
    726,708,608.10x = 792,158,101,629,959,168
  5. Step 5: Solve for x
    x = 792,158,101,629,959,168/726,708,608.10
  6. Step 6: Final answer
    x = 1,090,062,912.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.