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Finding the Fourth Proportional to 715,392,047.20, 1,003,844,691.20 and 715,392,047.20

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Solution

The fourth proportional to 715,392,047.20, 1,003,844,691.20 and 715,392,047.20 is: 1,003,844,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,392,047.20 : 1,003,844,691.20 = 715,392,047.20 : x
  2. Step 2: Convert to fraction form
    715,392,047.20/1,003,844,691.20 = 715,392,047.20/x
  3. Step 3: Cross multiply
    715,392,047.20x = 1,003,844,691.20 × 715,392,047.20
  4. Step 4: Simplify right side
    715,392,047.20x = 718,142,508,708,419,968
  5. Step 5: Solve for x
    x = 718,142,508,708,419,968/715,392,047.20
  6. Step 6: Final answer
    x = 1,003,844,691.20

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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.