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Finding the Fourth Proportional to 275,280,581,825.80, 412,920,872,738.70 and 275,280,581,825.80

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Solution

The fourth proportional to 275,280,581,825.80, 412,920,872,738.70 and 275,280,581,825.80 is: 412,920,872,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,581,825.80 : 412,920,872,738.70 = 275,280,581,825.80 : x
  2. Step 2: Convert to fraction form
    275,280,581,825.80/412,920,872,738.70 = 275,280,581,825.80/x
  3. Step 3: Cross multiply
    275,280,581,825.80x = 412,920,872,738.70 × 275,280,581,825.80
  4. Step 4: Simplify right side
    275,280,581,825.80x = 113,669,098,095,526,448,988,160
  5. Step 5: Solve for x
    x = 113,669,098,095,526,448,988,160/275,280,581,825.80
  6. Step 6: Final answer
    x = 412,920,872,738.70

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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.