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Finding the Fourth Proportional to 165,408,046.55, 248,112,069.83 and 165,408,046.55

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Solution

The fourth proportional to 165,408,046.55, 248,112,069.83 and 165,408,046.55 is: 248,112,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,408,046.55 : 248,112,069.83 = 165,408,046.55 : x
  2. Step 2: Convert to fraction form
    165,408,046.55/248,112,069.83 = 165,408,046.55/x
  3. Step 3: Cross multiply
    165,408,046.55x = 248,112,069.83 × 165,408,046.55
  4. Step 4: Simplify right side
    165,408,046.55x = 41,039,732,796,057,496
  5. Step 5: Solve for x
    x = 41,039,732,796,057,496/165,408,046.55
  6. Step 6: Final answer
    x = 248,112,069.83

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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.