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Finding the Fourth Proportional to 1,300,675,344, 1,794,927,447.72 and 705,959,826.42

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Solution

The fourth proportional to 1,300,675,344, 1,794,927,447.72 and 705,959,826.42 is: 974,222,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,675,344 : 1,794,927,447.72 = 705,959,826.42 : x
  2. Step 2: Convert to fraction form
    1,300,675,344/1,794,927,447.72 = 705,959,826.42/x
  3. Step 3: Cross multiply
    1,300,675,344x = 1,794,927,447.72 × 705,959,826.42
  4. Step 4: Simplify right side
    1,300,675,344x = 1,267,146,669,428,904,704
  5. Step 5: Solve for x
    x = 1,267,146,669,428,904,704/1,300,675,344
  6. Step 6: Final answer
    x = 974,222,103.37

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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.