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Finding the Fourth Proportional to 873,161,256.20, 1,309,741,884.30 and 873,161,256.20

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Solution

The fourth proportional to 873,161,256.20, 1,309,741,884.30 and 873,161,256.20 is: 1,309,741,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,161,256.20 : 1,309,741,884.30 = 873,161,256.20 : x
  2. Step 2: Convert to fraction form
    873,161,256.20/1,309,741,884.30 = 873,161,256.20/x
  3. Step 3: Cross multiply
    873,161,256.20x = 1,309,741,884.30 × 873,161,256.20
  4. Step 4: Simplify right side
    873,161,256.20x = 1,143,615,868,993,143,040
  5. Step 5: Solve for x
    x = 1,143,615,868,993,143,040/873,161,256.20
  6. Step 6: Final answer
    x = 1,309,741,884.30

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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.