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Finding the Fourth Proportional to 106,024,708.80, 158,813,114.40 and 106,024,708.80

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Solution

The fourth proportional to 106,024,708.80, 158,813,114.40 and 106,024,708.80 is: 158,813,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,024,708.80 : 158,813,114.40 = 106,024,708.80 : x
  2. Step 2: Convert to fraction form
    106,024,708.80/158,813,114.40 = 106,024,708.80/x
  3. Step 3: Cross multiply
    106,024,708.80x = 158,813,114.40 × 106,024,708.80
  4. Step 4: Simplify right side
    106,024,708.80x = 16,838,114,207,881,086
  5. Step 5: Solve for x
    x = 16,838,114,207,881,086/106,024,708.80
  6. Step 6: Final answer
    x = 158,813,114.40

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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.