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Finding the Fourth Proportional to 197,864,253,003.76, 296,796,379,505.67 and 197,864,253,003.76

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Solution

The fourth proportional to 197,864,253,003.76, 296,796,379,505.67 and 197,864,253,003.76 is: 296,796,379,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,864,253,003.76 : 296,796,379,505.67 = 197,864,253,003.76 : x
  2. Step 2: Convert to fraction form
    197,864,253,003.76/296,796,379,505.67 = 197,864,253,003.76/x
  3. Step 3: Cross multiply
    197,864,253,003.76x = 296,796,379,505.67 × 197,864,253,003.76
  4. Step 4: Simplify right side
    197,864,253,003.76x = 58,725,393,925,109,855,551,488
  5. Step 5: Solve for x
    x = 58,725,393,925,109,855,551,488/197,864,253,003.76
  6. Step 6: Final answer
    x = 296,796,379,505.67

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1.5x scale

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.