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Finding the Fourth Proportional to 1,601,632,251.20, 2,245,510,014.40 and 1,601,632,251.20

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Solution

The fourth proportional to 1,601,632,251.20, 2,245,510,014.40 and 1,601,632,251.20 is: 2,245,510,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,632,251.20 : 2,245,510,014.40 = 1,601,632,251.20 : x
  2. Step 2: Convert to fraction form
    1,601,632,251.20/2,245,510,014.40 = 1,601,632,251.20/x
  3. Step 3: Cross multiply
    1,601,632,251.20x = 2,245,510,014.40 × 1,601,632,251.20
  4. Step 4: Simplify right side
    1,601,632,251.20x = 3,596,481,259,455,616,512
  5. Step 5: Solve for x
    x = 3,596,481,259,455,616,512/1,601,632,251.20
  6. Step 6: Final answer
    x = 2,245,510,014.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.