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Finding the Fourth Proportional to 708,597,101.70, 1,062,895,652.55 and 708,597,101.70

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Solution

The fourth proportional to 708,597,101.70, 1,062,895,652.55 and 708,597,101.70 is: 1,062,895,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,597,101.70 : 1,062,895,652.55 = 708,597,101.70 : x
  2. Step 2: Convert to fraction form
    708,597,101.70/1,062,895,652.55 = 708,597,101.70/x
  3. Step 3: Cross multiply
    708,597,101.70x = 1,062,895,652.55 × 708,597,101.70
  4. Step 4: Simplify right side
    708,597,101.70x = 753,164,778,806,460,288
  5. Step 5: Solve for x
    x = 753,164,778,806,460,288/708,597,101.70
  6. Step 6: Final answer
    x = 1,062,895,652.55

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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.