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Finding the Fourth Proportional to 98,253,622.70, 147,096,998.85 and 98,253,622.70

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Solution

The fourth proportional to 98,253,622.70, 147,096,998.85 and 98,253,622.70 is: 147,096,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253,622.70 : 147,096,998.85 = 98,253,622.70 : x
  2. Step 2: Convert to fraction form
    98,253,622.70/147,096,998.85 = 98,253,622.70/x
  3. Step 3: Cross multiply
    98,253,622.70x = 147,096,998.85 × 98,253,622.70
  4. Step 4: Simplify right side
    98,253,622.70x = 14,452,813,025,310,234
  5. Step 5: Solve for x
    x = 14,452,813,025,310,234/98,253,622.70
  6. Step 6: Final answer
    x = 147,096,998.85

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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.