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Finding the Fourth Proportional to 100,203,493,270.45, 150,305,239,905.67 and 100,203,493,270.45

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Solution

The fourth proportional to 100,203,493,270.45, 150,305,239,905.67 and 100,203,493,270.45 is: 150,305,239,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,493,270.45 : 150,305,239,905.67 = 100,203,493,270.45 : x
  2. Step 2: Convert to fraction form
    100,203,493,270.45/150,305,239,905.67 = 100,203,493,270.45/x
  3. Step 3: Cross multiply
    100,203,493,270.45x = 150,305,239,905.67 × 100,203,493,270.45
  4. Step 4: Simplify right side
    100,203,493,270.45x = 15,061,110,095,401,176,793,088
  5. Step 5: Solve for x
    x = 15,061,110,095,401,176,793,088/100,203,493,270.45
  6. Step 6: Final answer
    x = 150,305,239,905.67

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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.