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Finding the Fourth Proportional to 11,987,670,727.20, 17,981,506,090.80 and 11,987,670,727.20

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Solution

The fourth proportional to 11,987,670,727.20, 17,981,506,090.80 and 11,987,670,727.20 is: 17,981,506,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987,670,727.20 : 17,981,506,090.80 = 11,987,670,727.20 : x
  2. Step 2: Convert to fraction form
    11,987,670,727.20/17,981,506,090.80 = 11,987,670,727.20/x
  3. Step 3: Cross multiply
    11,987,670,727.20x = 17,981,506,090.80 × 11,987,670,727.20
  4. Step 4: Simplify right side
    11,987,670,727.20x = 215,556,374,195,651,674,112
  5. Step 5: Solve for x
    x = 215,556,374,195,651,674,112/11,987,670,727.20
  6. Step 6: Final answer
    x = 17,981,506,090.80

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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.