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Finding the Fourth Proportional to 199,092,816,077.80, 298,639,224,116.70 and 199,092,816,077.80

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Solution

The fourth proportional to 199,092,816,077.80, 298,639,224,116.70 and 199,092,816,077.80 is: 298,639,224,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092,816,077.80 : 298,639,224,116.70 = 199,092,816,077.80 : x
  2. Step 2: Convert to fraction form
    199,092,816,077.80/298,639,224,116.70 = 199,092,816,077.80/x
  3. Step 3: Cross multiply
    199,092,816,077.80x = 298,639,224,116.70 × 199,092,816,077.80
  4. Step 4: Simplify right side
    199,092,816,077.80x = 59,456,924,120,683,045,191,680
  5. Step 5: Solve for x
    x = 59,456,924,120,683,045,191,680/199,092,816,077.80
  6. Step 6: Final answer
    x = 298,639,224,116.70

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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.