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Finding the Fourth Proportional to 165,020,015.40, 247,530,023.10 and 165,020,015.40

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Solution

The fourth proportional to 165,020,015.40, 247,530,023.10 and 165,020,015.40 is: 247,530,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,020,015.40 : 247,530,023.10 = 165,020,015.40 : x
  2. Step 2: Convert to fraction form
    165,020,015.40/247,530,023.10 = 165,020,015.40/x
  3. Step 3: Cross multiply
    165,020,015.40x = 247,530,023.10 × 165,020,015.40
  4. Step 4: Simplify right side
    165,020,015.40x = 40,847,408,223,924,360
  5. Step 5: Solve for x
    x = 40,847,408,223,924,360/165,020,015.40
  6. Step 6: Final answer
    x = 247,530,023.10

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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.