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Finding the Fourth Proportional to 227,967,001,723.20, 318,501,504,254.40 and 227,967,001,723.20

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Solution

The fourth proportional to 227,967,001,723.20, 318,501,504,254.40 and 227,967,001,723.20 is: 318,501,504,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,967,001,723.20 : 318,501,504,254.40 = 227,967,001,723.20 : x
  2. Step 2: Convert to fraction form
    227,967,001,723.20/318,501,504,254.40 = 227,967,001,723.20/x
  3. Step 3: Cross multiply
    227,967,001,723.20x = 318,501,504,254.40 × 227,967,001,723.20
  4. Step 4: Simplify right side
    227,967,001,723.20x = 72,607,832,969,204,606,173,184
  5. Step 5: Solve for x
    x = 72,607,832,969,204,606,173,184/227,967,001,723.20
  6. Step 6: Final answer
    x = 318,501,504,254.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.