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Finding the Fourth Proportional to 517,107,446.30, 775,661,169.45 and 517,107,446.30

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Solution

The fourth proportional to 517,107,446.30, 775,661,169.45 and 517,107,446.30 is: 775,661,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,107,446.30 : 775,661,169.45 = 517,107,446.30 : x
  2. Step 2: Convert to fraction form
    517,107,446.30/775,661,169.45 = 517,107,446.30/x
  3. Step 3: Cross multiply
    517,107,446.30x = 775,661,169.45 × 517,107,446.30
  4. Step 4: Simplify right side
    517,107,446.30x = 401,100,166,528,361,088
  5. Step 5: Solve for x
    x = 401,100,166,528,361,088/517,107,446.30
  6. Step 6: Final answer
    x = 775,661,169.45

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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.