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Finding the Fourth Proportional to 996,365,277.14, 1,493,969,702.16 and 471,729,974.79

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Solution

The fourth proportional to 996,365,277.14, 1,493,969,702.16 and 471,729,974.79 is: 707,321,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,365,277.14 : 1,493,969,702.16 = 471,729,974.79 : x
  2. Step 2: Convert to fraction form
    996,365,277.14/1,493,969,702.16 = 471,729,974.79/x
  3. Step 3: Cross multiply
    996,365,277.14x = 1,493,969,702.16 × 471,729,974.79
  4. Step 4: Simplify right side
    996,365,277.14x = 704,750,289,936,960,640
  5. Step 5: Solve for x
    x = 704,750,289,936,960,640/996,365,277.14
  6. Step 6: Final answer
    x = 707,321,206.50

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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.