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Finding the Fourth Proportional to 126,737,227,219.45, 190,105,840,829.17 and 126,737,227,219.45

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Solution

The fourth proportional to 126,737,227,219.45, 190,105,840,829.17 and 126,737,227,219.45 is: 190,105,840,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,737,227,219.45 : 190,105,840,829.17 = 126,737,227,219.45 : x
  2. Step 2: Convert to fraction form
    126,737,227,219.45/190,105,840,829.17 = 126,737,227,219.45/x
  3. Step 3: Cross multiply
    126,737,227,219.45x = 190,105,840,829.17 × 126,737,227,219.45
  4. Step 4: Simplify right side
    126,737,227,219.45x = 24,093,487,144,911,115,386,880
  5. Step 5: Solve for x
    x = 24,093,487,144,911,115,386,880/126,737,227,219.45
  6. Step 6: Final answer
    x = 190,105,840,829.17

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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.