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Finding the Fourth Proportional to 149,193,863,138.70, 223,790,794,708.05 and 149,193,863,138.70

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Solution

The fourth proportional to 149,193,863,138.70, 223,790,794,708.05 and 149,193,863,138.70 is: 223,790,794,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,193,863,138.70 : 223,790,794,708.05 = 149,193,863,138.70 : x
  2. Step 2: Convert to fraction form
    149,193,863,138.70/223,790,794,708.05 = 149,193,863,138.70/x
  3. Step 3: Cross multiply
    149,193,863,138.70x = 223,790,794,708.05 × 149,193,863,138.70
  4. Step 4: Simplify right side
    149,193,863,138.70x = 33,388,213,197,373,718,921,216
  5. Step 5: Solve for x
    x = 33,388,213,197,373,718,921,216/149,193,863,138.70
  6. Step 6: Final answer
    x = 223,790,794,708.05

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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.