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Finding the Fourth Proportional to 83,991,821,403.70, 125,987,732,105.55 and 83,991,821,403.70

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Solution

The fourth proportional to 83,991,821,403.70, 125,987,732,105.55 and 83,991,821,403.70 is: 125,987,732,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991,821,403.70 : 125,987,732,105.55 = 83,991,821,403.70 : x
  2. Step 2: Convert to fraction form
    83,991,821,403.70/125,987,732,105.55 = 83,991,821,403.70/x
  3. Step 3: Cross multiply
    83,991,821,403.70x = 125,987,732,105.55 × 83,991,821,403.70
  4. Step 4: Simplify right side
    83,991,821,403.70x = 10,581,939,094,066,556,829,696
  5. Step 5: Solve for x
    x = 10,581,939,094,066,556,829,696/83,991,821,403.70
  6. Step 6: Final answer
    x = 125,987,732,105.55

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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.