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Finding the Fourth Proportional to 105,682,264.40, 158,271,454.20 and 105,682,264.40

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Solution

The fourth proportional to 105,682,264.40, 158,271,454.20 and 105,682,264.40 is: 158,271,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,682,264.40 : 158,271,454.20 = 105,682,264.40 : x
  2. Step 2: Convert to fraction form
    105,682,264.40/158,271,454.20 = 105,682,264.40/x
  3. Step 3: Cross multiply
    105,682,264.40x = 158,271,454.20 × 105,682,264.40
  4. Step 4: Simplify right side
    105,682,264.40x = 16,726,485,669,736,890
  5. Step 5: Solve for x
    x = 16,726,485,669,736,890/105,682,264.40
  6. Step 6: Final answer
    x = 158,271,454.20

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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.