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Finding the Fourth Proportional to 997,272,078.70, 1,398,476,735.30 and 997,272,078.70

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Solution

The fourth proportional to 997,272,078.70, 1,398,476,735.30 and 997,272,078.70 is: 1,398,476,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,272,078.70 : 1,398,476,735.30 = 997,272,078.70 : x
  2. Step 2: Convert to fraction form
    997,272,078.70/1,398,476,735.30 = 997,272,078.70/x
  3. Step 3: Cross multiply
    997,272,078.70x = 1,398,476,735.30 × 997,272,078.70
  4. Step 4: Simplify right side
    997,272,078.70x = 1,394,661,800,826,220,800
  5. Step 5: Solve for x
    x = 1,394,661,800,826,220,800/997,272,078.70
  6. Step 6: Final answer
    x = 1,398,476,735.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.