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Finding the Fourth Proportional to 996,382,819.68, 1,375,008,238.64 and 538,092,322.39

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Solution

The fourth proportional to 996,382,819.68, 1,375,008,238.64 and 538,092,322.39 is: 742,567,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,382,819.68 : 1,375,008,238.64 = 538,092,322.39 : x
  2. Step 2: Convert to fraction form
    996,382,819.68/1,375,008,238.64 = 538,092,322.39/x
  3. Step 3: Cross multiply
    996,382,819.68x = 1,375,008,238.64 × 538,092,322.39
  4. Step 4: Simplify right side
    996,382,819.68x = 739,881,376,435,180,928
  5. Step 5: Solve for x
    x = 739,881,376,435,180,928/996,382,819.68
  6. Step 6: Final answer
    x = 742,567,376.54

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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.