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Finding the Fourth Proportional to 122,593,603,976.73, 183,890,405,965.08 and 122,593,603,976.73

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Solution

The fourth proportional to 122,593,603,976.73, 183,890,405,965.08 and 122,593,603,976.73 is: 183,890,405,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593,603,976.73 : 183,890,405,965.08 = 122,593,603,976.73 : x
  2. Step 2: Convert to fraction form
    122,593,603,976.73/183,890,405,965.08 = 122,593,603,976.73/x
  3. Step 3: Cross multiply
    122,593,603,976.73x = 183,890,405,965.08 × 122,593,603,976.73
  4. Step 4: Simplify right side
    122,593,603,976.73x = 22,543,787,604,003,124,150,272
  5. Step 5: Solve for x
    x = 22,543,787,604,003,124,150,272/122,593,603,976.73
  6. Step 6: Final answer
    x = 183,890,405,965.08

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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.