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Finding the Fourth Proportional to 1,344,040,420, 1,854,777,029.52 and 725,941,732

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Solution

The fourth proportional to 1,344,040,420, 1,854,777,029.52 and 725,941,732 is: 1,001,800,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344,040,420 : 1,854,777,029.52 = 725,941,732 : x
  2. Step 2: Convert to fraction form
    1,344,040,420/1,854,777,029.52 = 725,941,732/x
  3. Step 3: Cross multiply
    1,344,040,420x = 1,854,777,029.52 × 725,941,732
  4. Step 4: Simplify right side
    1,344,040,420x = 1,346,460,049,283,564,032
  5. Step 5: Solve for x
    x = 1,346,460,049,283,564,032/1,344,040,420
  6. Step 6: Final answer
    x = 1,001,800,265.27

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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.