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Finding the Fourth Proportional to 83,991,820,211.70, 125,987,730,317.55 and 83,991,820,211.70

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Solution

The fourth proportional to 83,991,820,211.70, 125,987,730,317.55 and 83,991,820,211.70 is: 125,987,730,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991,820,211.70 : 125,987,730,317.55 = 83,991,820,211.70 : x
  2. Step 2: Convert to fraction form
    83,991,820,211.70/125,987,730,317.55 = 83,991,820,211.70/x
  3. Step 3: Cross multiply
    83,991,820,211.70x = 125,987,730,317.55 × 83,991,820,211.70
  4. Step 4: Simplify right side
    83,991,820,211.70x = 10,581,938,793,711,805,661,184
  5. Step 5: Solve for x
    x = 10,581,938,793,711,805,661,184/83,991,820,211.70
  6. Step 6: Final answer
    x = 125,987,730,317.55

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Double scale
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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.