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Finding the Fourth Proportional to 763,260,640.80, 1,144,890,961.20 and 763,260,640.80

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Solution

The fourth proportional to 763,260,640.80, 1,144,890,961.20 and 763,260,640.80 is: 1,144,890,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,260,640.80 : 1,144,890,961.20 = 763,260,640.80 : x
  2. Step 2: Convert to fraction form
    763,260,640.80/1,144,890,961.20 = 763,260,640.80/x
  3. Step 3: Cross multiply
    763,260,640.80x = 1,144,890,961.20 × 763,260,640.80
  4. Step 4: Simplify right side
    763,260,640.80x = 873,850,208,691,639,936
  5. Step 5: Solve for x
    x = 873,850,208,691,639,936/763,260,640.80
  6. Step 6: Final answer
    x = 1,144,890,961.20

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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.