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Finding the Fourth Proportional to 118,729,988,661.80, 178,094,982,992.70 and 118,729,988,661.80

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Solution

The fourth proportional to 118,729,988,661.80, 178,094,982,992.70 and 118,729,988,661.80 is: 178,094,982,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,729,988,661.80 : 178,094,982,992.70 = 118,729,988,661.80 : x
  2. Step 2: Convert to fraction form
    118,729,988,661.80/178,094,982,992.70 = 118,729,988,661.80/x
  3. Step 3: Cross multiply
    118,729,988,661.80x = 178,094,982,992.70 × 118,729,988,661.80
  4. Step 4: Simplify right side
    118,729,988,661.80x = 21,145,215,311,446,735,323,136
  5. Step 5: Solve for x
    x = 21,145,215,311,446,735,323,136/118,729,988,661.80
  6. Step 6: Final answer
    x = 178,094,982,992.70

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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.