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Finding the Fourth Proportional to 165,408,049.05, 248,112,073.58 and 165,408,049.05

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Solution

The fourth proportional to 165,408,049.05, 248,112,073.58 and 165,408,049.05 is: 248,112,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,408,049.05 : 248,112,073.58 = 165,408,049.05 : x
  2. Step 2: Convert to fraction form
    165,408,049.05/248,112,073.58 = 165,408,049.05/x
  3. Step 3: Cross multiply
    165,408,049.05x = 248,112,073.58 × 165,408,049.05
  4. Step 4: Simplify right side
    165,408,049.05x = 41,039,734,035,790,808
  5. Step 5: Solve for x
    x = 41,039,734,035,790,808/165,408,049.05
  6. Step 6: Final answer
    x = 248,112,073.58

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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.