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Finding the Fourth Proportional to 313,465,961.60, 470,198,942.40 and 313,465,961.60

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Solution

The fourth proportional to 313,465,961.60, 470,198,942.40 and 313,465,961.60 is: 470,198,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,465,961.60 : 470,198,942.40 = 313,465,961.60 : x
  2. Step 2: Convert to fraction form
    313,465,961.60/470,198,942.40 = 313,465,961.60/x
  3. Step 3: Cross multiply
    313,465,961.60x = 470,198,942.40 × 313,465,961.60
  4. Step 4: Simplify right side
    313,465,961.60x = 147,391,363,622,719,008
  5. Step 5: Solve for x
    x = 147,391,363,622,719,008/313,465,961.60
  6. Step 6: Final answer
    x = 470,198,942.40

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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.