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Finding the Fourth Proportional to 2,420,234,313.20, 3,630,351,469.80 and 2,420,234,313.20

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Solution

The fourth proportional to 2,420,234,313.20, 3,630,351,469.80 and 2,420,234,313.20 is: 3,630,351,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420,234,313.20 : 3,630,351,469.80 = 2,420,234,313.20 : x
  2. Step 2: Convert to fraction form
    2,420,234,313.20/3,630,351,469.80 = 2,420,234,313.20/x
  3. Step 3: Cross multiply
    2,420,234,313.20x = 3,630,351,469.80 × 2,420,234,313.20
  4. Step 4: Simplify right side
    2,420,234,313.20x = 8,786,301,196,186,013,696
  5. Step 5: Solve for x
    x = 8,786,301,196,186,013,696/2,420,234,313.20
  6. Step 6: Final answer
    x = 3,630,351,469.80

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Half scale
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Double scale
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Similar ratio
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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.