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Finding the Fourth Proportional to 105,885,414.90, 158,828,122.35 and 105,885,414.90

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Solution

The fourth proportional to 105,885,414.90, 158,828,122.35 and 105,885,414.90 is: 158,828,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885,414.90 : 158,828,122.35 = 105,885,414.90 : x
  2. Step 2: Convert to fraction form
    105,885,414.90/158,828,122.35 = 105,885,414.90/x
  3. Step 3: Cross multiply
    105,885,414.90x = 158,828,122.35 × 105,885,414.90
  4. Step 4: Simplify right side
    105,885,414.90x = 16,817,581,632,817,714
  5. Step 5: Solve for x
    x = 16,817,581,632,817,714/105,885,414.90
  6. Step 6: Final answer
    x = 158,828,122.35

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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.