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Finding the Fourth Proportional to 129,848,790,834.45, 194,773,186,251.67 and 129,848,790,834.45

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Solution

The fourth proportional to 129,848,790,834.45, 194,773,186,251.67 and 129,848,790,834.45 is: 194,773,186,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,790,834.45 : 194,773,186,251.67 = 129,848,790,834.45 : x
  2. Step 2: Convert to fraction form
    129,848,790,834.45/194,773,186,251.67 = 129,848,790,834.45/x
  3. Step 3: Cross multiply
    129,848,790,834.45x = 194,773,186,251.67 × 129,848,790,834.45
  4. Step 4: Simplify right side
    129,848,790,834.45x = 25,291,062,721,752,470,650,880
  5. Step 5: Solve for x
    x = 25,291,062,721,752,470,650,880/129,848,790,834.45
  6. Step 6: Final answer
    x = 194,773,186,251.67

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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.