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Finding the Fourth Proportional to 801,438,689.20, 1,202,158,033.80 and 801,438,689.20

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Solution

The fourth proportional to 801,438,689.20, 1,202,158,033.80 and 801,438,689.20 is: 1,202,158,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,438,689.20 : 1,202,158,033.80 = 801,438,689.20 : x
  2. Step 2: Convert to fraction form
    801,438,689.20/1,202,158,033.80 = 801,438,689.20/x
  3. Step 3: Cross multiply
    801,438,689.20x = 1,202,158,033.80 × 801,438,689.20
  4. Step 4: Simplify right side
    801,438,689.20x = 963,455,958,819,921,280
  5. Step 5: Solve for x
    x = 963,455,958,819,921,280/801,438,689.20
  6. Step 6: Final answer
    x = 1,202,158,033.80

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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.