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Finding the Fourth Proportional to 316,613,311,997.80, 474,919,967,996.70 and 316,613,311,997.80

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Solution

The fourth proportional to 316,613,311,997.80, 474,919,967,996.70 and 316,613,311,997.80 is: 474,919,967,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,613,311,997.80 : 474,919,967,996.70 = 316,613,311,997.80 : x
  2. Step 2: Convert to fraction form
    316,613,311,997.80/474,919,967,996.70 = 316,613,311,997.80/x
  3. Step 3: Cross multiply
    316,613,311,997.80x = 474,919,967,996.70 × 316,613,311,997.80
  4. Step 4: Simplify right side
    316,613,311,997.80x = 150,365,984,001,324,371,410,944
  5. Step 5: Solve for x
    x = 150,365,984,001,324,371,410,944/316,613,311,997.80
  6. Step 6: Final answer
    x = 474,919,967,996.70

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Double scale
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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.