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Finding the Fourth Proportional to 726,708,876.10, 1,090,063,314.15 and 726,708,876.10

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Solution

The fourth proportional to 726,708,876.10, 1,090,063,314.15 and 726,708,876.10 is: 1,090,063,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,708,876.10 : 1,090,063,314.15 = 726,708,876.10 : x
  2. Step 2: Convert to fraction form
    726,708,876.10/1,090,063,314.15 = 726,708,876.10/x
  3. Step 3: Cross multiply
    726,708,876.10x = 1,090,063,314.15 × 726,708,876.10
  4. Step 4: Simplify right side
    726,708,876.10x = 792,158,685,903,787,776
  5. Step 5: Solve for x
    x = 792,158,685,903,787,776/726,708,876.10
  6. Step 6: Final answer
    x = 1,090,063,314.15

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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.