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Finding the Fourth Proportional to 997,272,081.70, 1,398,476,739.50 and 997,272,081.70

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Solution

The fourth proportional to 997,272,081.70, 1,398,476,739.50 and 997,272,081.70 is: 1,398,476,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,272,081.70 : 1,398,476,739.50 = 997,272,081.70 : x
  2. Step 2: Convert to fraction form
    997,272,081.70/1,398,476,739.50 = 997,272,081.70/x
  3. Step 3: Cross multiply
    997,272,081.70x = 1,398,476,739.50 × 997,272,081.70
  4. Step 4: Simplify right side
    997,272,081.70x = 1,394,661,809,210,193,664
  5. Step 5: Solve for x
    x = 1,394,661,809,210,193,664/997,272,081.70
  6. Step 6: Final answer
    x = 1,398,476,739.50

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Why These Related Problems?

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