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Finding the Fourth Proportional to 517,144,991,069.70, 775,717,486,604.70 and 517,144,991,069.70

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Solution

The fourth proportional to 517,144,991,069.70, 775,717,486,604.70 and 517,144,991,069.70 is: 775,717,486,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,144,991,069.70 : 775,717,486,604.70 = 517,144,991,069.70 : x
  2. Step 2: Convert to fraction form
    517,144,991,069.70/775,717,486,604.70 = 517,144,991,069.70/x
  3. Step 3: Cross multiply
    517,144,991,069.70x = 775,717,486,604.70 × 517,144,991,069.70
  4. Step 4: Simplify right side
    517,144,991,069.70x = 401,158,412,682,797,663,649,792
  5. Step 5: Solve for x
    x = 401,158,412,682,797,663,649,792/517,144,991,069.70
  6. Step 6: Final answer
    x = 775,717,486,604.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.