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Finding the Fourth Proportional to 265,760,512.20, 397,884,941.10 and 265,760,512.20

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Solution

The fourth proportional to 265,760,512.20, 397,884,941.10 and 265,760,512.20 is: 397,884,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,760,512.20 : 397,884,941.10 = 265,760,512.20 : x
  2. Step 2: Convert to fraction form
    265,760,512.20/397,884,941.10 = 265,760,512.20/x
  3. Step 3: Cross multiply
    265,760,512.20x = 397,884,941.10 × 265,760,512.20
  4. Step 4: Simplify right side
    265,760,512.20x = 105,742,105,743,402,832
  5. Step 5: Solve for x
    x = 105,742,105,743,402,832/265,760,512.20
  6. Step 6: Final answer
    x = 397,884,941.10

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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.