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Finding the Fourth Proportional to 737,012,196,022.75, 1,105,518,294,034.10 and 737,012,196,022.75

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Solution

The fourth proportional to 737,012,196,022.75, 1,105,518,294,034.10 and 737,012,196,022.75 is: 1,105,518,294,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,012,196,022.75 : 1,105,518,294,034.10 = 737,012,196,022.75 : x
  2. Step 2: Convert to fraction form
    737,012,196,022.75/1,105,518,294,034.10 = 737,012,196,022.75/x
  3. Step 3: Cross multiply
    737,012,196,022.75x = 1,105,518,294,034.10 × 737,012,196,022.75
  4. Step 4: Simplify right side
    737,012,196,022.75x = 814,780,465,629,396,419,477,504
  5. Step 5: Solve for x
    x = 814,780,465,629,396,419,477,504/737,012,196,022.75
  6. Step 6: Final answer
    x = 1,105,518,294,034.10

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Why These Related Problems?

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