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Finding the Fourth Proportional to 708,589,625.70, 1,062,884,438.55 and 708,589,625.70

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Solution

The fourth proportional to 708,589,625.70, 1,062,884,438.55 and 708,589,625.70 is: 1,062,884,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,625.70 : 1,062,884,438.55 = 708,589,625.70 : x
  2. Step 2: Convert to fraction form
    708,589,625.70/1,062,884,438.55 = 708,589,625.70/x
  3. Step 3: Cross multiply
    708,589,625.70x = 1,062,884,438.55 × 708,589,625.70
  4. Step 4: Simplify right side
    708,589,625.70x = 753,148,886,474,499,200
  5. Step 5: Solve for x
    x = 753,148,886,474,499,200/708,589,625.70
  6. Step 6: Final answer
    x = 1,062,884,438.55

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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.