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Finding the Fourth Proportional to 165,408,023.80, 248,112,035.70 and 165,408,023.80

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Solution

The fourth proportional to 165,408,023.80, 248,112,035.70 and 165,408,023.80 is: 248,112,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,408,023.80 : 248,112,035.70 = 165,408,023.80 : x
  2. Step 2: Convert to fraction form
    165,408,023.80/248,112,035.70 = 165,408,023.80/x
  3. Step 3: Cross multiply
    165,408,023.80x = 248,112,035.70 × 165,408,023.80
  4. Step 4: Simplify right side
    165,408,023.80x = 41,039,721,506,132,048
  5. Step 5: Solve for x
    x = 41,039,721,506,132,048/165,408,023.80
  6. Step 6: Final answer
    x = 248,112,035.70

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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.