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Finding the Fourth Proportional to 198,640,544,059.20, 297,960,816,088.80 and 198,640,544,059.20

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Solution

The fourth proportional to 198,640,544,059.20, 297,960,816,088.80 and 198,640,544,059.20 is: 297,960,816,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,640,544,059.20 : 297,960,816,088.80 = 198,640,544,059.20 : x
  2. Step 2: Convert to fraction form
    198,640,544,059.20/297,960,816,088.80 = 198,640,544,059.20/x
  3. Step 3: Cross multiply
    198,640,544,059.20x = 297,960,816,088.80 × 198,640,544,059.20
  4. Step 4: Simplify right side
    198,640,544,059.20x = 59,187,098,616,202,465,902,592
  5. Step 5: Solve for x
    x = 59,187,098,616,202,465,902,592/198,640,544,059.20
  6. Step 6: Final answer
    x = 297,960,816,088.80

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1.5x scale

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.