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Finding the Fourth Proportional to 105,846,738.80, 158,770,108.20 and 105,846,738.80

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Solution

The fourth proportional to 105,846,738.80, 158,770,108.20 and 105,846,738.80 is: 158,770,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846,738.80 : 158,770,108.20 = 105,846,738.80 : x
  2. Step 2: Convert to fraction form
    105,846,738.80/158,770,108.20 = 105,846,738.80/x
  3. Step 3: Cross multiply
    105,846,738.80x = 158,770,108.20 × 105,846,738.80
  4. Step 4: Simplify right side
    105,846,738.80x = 16,805,298,171,893,136
  5. Step 5: Solve for x
    x = 16,805,298,171,893,136/105,846,738.80
  6. Step 6: Final answer
    x = 158,770,108.20

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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.