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Finding the Fourth Proportional to 118,098,103.70, 177,147,155.55 and 118,098,103.70

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Solution

The fourth proportional to 118,098,103.70, 177,147,155.55 and 118,098,103.70 is: 177,147,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098,103.70 : 177,147,155.55 = 118,098,103.70 : x
  2. Step 2: Convert to fraction form
    118,098,103.70/177,147,155.55 = 118,098,103.70/x
  3. Step 3: Cross multiply
    118,098,103.70x = 177,147,155.55 × 118,098,103.70
  4. Step 4: Simplify right side
    118,098,103.70x = 20,920,743,146,303,932
  5. Step 5: Solve for x
    x = 20,920,743,146,303,932/118,098,103.70
  6. Step 6: Final answer
    x = 177,147,155.55

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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.