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Finding the Fourth Proportional to 978,048,313.20, 1,467,072,469.80 and 978,048,313.20

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Solution

The fourth proportional to 978,048,313.20, 1,467,072,469.80 and 978,048,313.20 is: 1,467,072,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,048,313.20 : 1,467,072,469.80 = 978,048,313.20 : x
  2. Step 2: Convert to fraction form
    978,048,313.20/1,467,072,469.80 = 978,048,313.20/x
  3. Step 3: Cross multiply
    978,048,313.20x = 1,467,072,469.80 × 978,048,313.20
  4. Step 4: Simplify right side
    978,048,313.20x = 1,434,867,754,430,048,000
  5. Step 5: Solve for x
    x = 1,434,867,754,430,048,000/978,048,313.20
  6. Step 6: Final answer
    x = 1,467,072,469.80

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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.