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Finding the Fourth Proportional to 698,691,680.70, 1,046,021,981.85 and 698,691,680.70

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Solution

The fourth proportional to 698,691,680.70, 1,046,021,981.85 and 698,691,680.70 is: 1,046,021,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,691,680.70 : 1,046,021,981.85 = 698,691,680.70 : x
  2. Step 2: Convert to fraction form
    698,691,680.70/1,046,021,981.85 = 698,691,680.70/x
  3. Step 3: Cross multiply
    698,691,680.70x = 1,046,021,981.85 × 698,691,680.70
  4. Step 4: Simplify right side
    698,691,680.70x = 730,846,856,547,921,408
  5. Step 5: Solve for x
    x = 730,846,856,547,921,408/698,691,680.70
  6. Step 6: Final answer
    x = 1,046,021,981.85

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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.