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Finding the Fourth Proportional to 517,144,991,074.85, 775,717,486,612.15 and 517,144,991,074.85

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Solution

The fourth proportional to 517,144,991,074.85, 775,717,486,612.15 and 517,144,991,074.85 is: 775,717,486,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,144,991,074.85 : 775,717,486,612.15 = 517,144,991,074.85 : x
  2. Step 2: Convert to fraction form
    517,144,991,074.85/775,717,486,612.15 = 517,144,991,074.85/x
  3. Step 3: Cross multiply
    517,144,991,074.85x = 775,717,486,612.15 × 517,144,991,074.85
  4. Step 4: Simplify right side
    517,144,991,074.85x = 401,158,412,690,645,374,205,952
  5. Step 5: Solve for x
    x = 401,158,412,690,645,374,205,952/517,144,991,074.85
  6. Step 6: Final answer
    x = 775,717,486,612.15

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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.