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Finding the Fourth Proportional to 107,324,416,013.60, 160,986,624,020.40 and 107,324,416,013.60

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Solution

The fourth proportional to 107,324,416,013.60, 160,986,624,020.40 and 107,324,416,013.60 is: 160,986,624,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,324,416,013.60 : 160,986,624,020.40 = 107,324,416,013.60 : x
  2. Step 2: Convert to fraction form
    107,324,416,013.60/160,986,624,020.40 = 107,324,416,013.60/x
  3. Step 3: Cross multiply
    107,324,416,013.60x = 160,986,624,020.40 × 107,324,416,013.60
  4. Step 4: Simplify right side
    107,324,416,013.60x = 17,277,795,408,990,420,598,784
  5. Step 5: Solve for x
    x = 17,277,795,408,990,420,598,784/107,324,416,013.60
  6. Step 6: Final answer
    x = 160,986,624,020.40

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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.