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Finding the Fourth Proportional to 72,654,984,187.70, 108,982,476,281.55 and 72,654,984,187.70

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Solution

The fourth proportional to 72,654,984,187.70, 108,982,476,281.55 and 72,654,984,187.70 is: 108,982,476,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,654,984,187.70 : 108,982,476,281.55 = 72,654,984,187.70 : x
  2. Step 2: Convert to fraction form
    72,654,984,187.70/108,982,476,281.55 = 72,654,984,187.70/x
  3. Step 3: Cross multiply
    72,654,984,187.70x = 108,982,476,281.55 × 72,654,984,187.70
  4. Step 4: Simplify right side
    72,654,984,187.70x = 7,918,120,090,972,405,628,928
  5. Step 5: Solve for x
    x = 7,918,120,090,972,405,628,928/72,654,984,187.70
  6. Step 6: Final answer
    x = 108,982,476,281.55

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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.