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Finding the Fourth Proportional to 83,172,614,937.70, 124,758,922,406.55 and 83,172,614,937.70

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Solution

The fourth proportional to 83,172,614,937.70, 124,758,922,406.55 and 83,172,614,937.70 is: 124,758,922,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172,614,937.70 : 124,758,922,406.55 = 83,172,614,937.70 : x
  2. Step 2: Convert to fraction form
    83,172,614,937.70/124,758,922,406.55 = 83,172,614,937.70/x
  3. Step 3: Cross multiply
    83,172,614,937.70x = 124,758,922,406.55 × 83,172,614,937.70
  4. Step 4: Simplify right side
    83,172,614,937.70x = 10,376,525,813,362,374,737,920
  5. Step 5: Solve for x
    x = 10,376,525,813,362,374,737,920/83,172,614,937.70
  6. Step 6: Final answer
    x = 124,758,922,406.55

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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.