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Finding the Fourth Proportional to 9,132,912,378.80, 13,699,368,568.20 and 9,132,912,378.80

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Solution

The fourth proportional to 9,132,912,378.80, 13,699,368,568.20 and 9,132,912,378.80 is: 13,699,368,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132,912,378.80 : 13,699,368,568.20 = 9,132,912,378.80 : x
  2. Step 2: Convert to fraction form
    9,132,912,378.80/13,699,368,568.20 = 9,132,912,378.80/x
  3. Step 3: Cross multiply
    9,132,912,378.80x = 13,699,368,568.20 × 9,132,912,378.80
  4. Step 4: Simplify right side
    9,132,912,378.80x = 125,115,132,778,257,416,192
  5. Step 5: Solve for x
    x = 125,115,132,778,257,416,192/9,132,912,378.80
  6. Step 6: Final answer
    x = 13,699,368,568.20

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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.