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Finding the Fourth Proportional to 133,571,240,999.78, 200,356,861,499.67 and 133,571,240,999.78

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Solution

The fourth proportional to 133,571,240,999.78, 200,356,861,499.67 and 133,571,240,999.78 is: 200,356,861,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,571,240,999.78 : 200,356,861,499.67 = 133,571,240,999.78 : x
  2. Step 2: Convert to fraction form
    133,571,240,999.78/200,356,861,499.67 = 133,571,240,999.78/x
  3. Step 3: Cross multiply
    133,571,240,999.78x = 200,356,861,499.67 × 133,571,240,999.78
  4. Step 4: Simplify right side
    133,571,240,999.78x = 26,761,914,633,331,964,641,280
  5. Step 5: Solve for x
    x = 26,761,914,633,331,964,641,280/133,571,240,999.78
  6. Step 6: Final answer
    x = 200,356,861,499.67

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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.