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Finding the Fourth Proportional to 782,283,444,462.65, 1,173,425,166,694 and 782,283,444,462.65

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Solution

The fourth proportional to 782,283,444,462.65, 1,173,425,166,694 and 782,283,444,462.65 is: 1,173,425,166,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,283,444,462.65 : 1,173,425,166,694 = 782,283,444,462.65 : x
  2. Step 2: Convert to fraction form
    782,283,444,462.65/1,173,425,166,694 = 782,283,444,462.65/x
  3. Step 3: Cross multiply
    782,283,444,462.65x = 1,173,425,166,694 × 782,283,444,462.65
  4. Step 4: Simplify right side
    782,283,444,462.65x = 917,951,081,220,541,564,059,648
  5. Step 5: Solve for x
    x = 917,951,081,220,541,564,059,648/782,283,444,462.65
  6. Step 6: Final answer
    x = 1,173,425,166,694

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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.