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Finding the Fourth Proportional to 1,314,843,082.38, 1,814,540,490.64 and 728,132,218.38

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Solution

The fourth proportional to 1,314,843,082.38, 1,814,540,490.64 and 728,132,218.38 is: 1,004,854,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,843,082.38 : 1,814,540,490.64 = 728,132,218.38 : x
  2. Step 2: Convert to fraction form
    1,314,843,082.38/1,814,540,490.64 = 728,132,218.38/x
  3. Step 3: Cross multiply
    1,314,843,082.38x = 1,814,540,490.64 × 728,132,218.38
  4. Step 4: Simplify right side
    1,314,843,082.38x = 1,321,225,392,790,036,992
  5. Step 5: Solve for x
    x = 1,321,225,392,790,036,992/1,314,843,082.38
  6. Step 6: Final answer
    x = 1,004,854,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.