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Finding the Fourth Proportional to 517,144,991,076.85, 775,717,486,615.20 and 517,144,991,076.85

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Solution

The fourth proportional to 517,144,991,076.85, 775,717,486,615.20 and 517,144,991,076.85 is: 775,717,486,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,144,991,076.85 : 775,717,486,615.20 = 517,144,991,076.85 : x
  2. Step 2: Convert to fraction form
    517,144,991,076.85/775,717,486,615.20 = 517,144,991,076.85/x
  3. Step 3: Cross multiply
    517,144,991,076.85x = 775,717,486,615.20 × 517,144,991,076.85
  4. Step 4: Simplify right side
    517,144,991,076.85x = 401,158,412,693,774,056,554,496
  5. Step 5: Solve for x
    x = 401,158,412,693,774,056,554,496/517,144,991,076.85
  6. Step 6: Final answer
    x = 775,717,486,615.20

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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.