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Finding the Fourth Proportional to 199,092,815,999.80, 298,639,223,999.70 and 199,092,815,999.80

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Solution

The fourth proportional to 199,092,815,999.80, 298,639,223,999.70 and 199,092,815,999.80 is: 298,639,223,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092,815,999.80 : 298,639,223,999.70 = 199,092,815,999.80 : x
  2. Step 2: Convert to fraction form
    199,092,815,999.80/298,639,223,999.70 = 199,092,815,999.80/x
  3. Step 3: Cross multiply
    199,092,815,999.80x = 298,639,223,999.70 × 199,092,815,999.80
  4. Step 4: Simplify right side
    199,092,815,999.80x = 59,456,924,074,095,325,216,768
  5. Step 5: Solve for x
    x = 59,456,924,074,095,325,216,768/199,092,815,999.80
  6. Step 6: Final answer
    x = 298,639,223,999.70

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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.