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Finding the Fourth Proportional to 80,145,200.40, 112,543,402.80 and 80,145,200.40

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Solution

The fourth proportional to 80,145,200.40, 112,543,402.80 and 80,145,200.40 is: 112,543,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,145,200.40 : 112,543,402.80 = 80,145,200.40 : x
  2. Step 2: Convert to fraction form
    80,145,200.40/112,543,402.80 = 80,145,200.40/x
  3. Step 3: Cross multiply
    80,145,200.40x = 112,543,402.80 × 80,145,200.40
  4. Step 4: Simplify right side
    80,145,200.40x = 9,019,813,571,103,922
  5. Step 5: Solve for x
    x = 9,019,813,571,103,922/80,145,200.40
  6. Step 6: Final answer
    x = 112,543,402.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.