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Finding the Fourth Proportional to 590,071,231.20, 827,309,047.20 and 590,071,231.20

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Solution

The fourth proportional to 590,071,231.20, 827,309,047.20 and 590,071,231.20 is: 827,309,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,071,231.20 : 827,309,047.20 = 590,071,231.20 : x
  2. Step 2: Convert to fraction form
    590,071,231.20/827,309,047.20 = 590,071,231.20/x
  3. Step 3: Cross multiply
    590,071,231.20x = 827,309,047.20 × 590,071,231.20
  4. Step 4: Simplify right side
    590,071,231.20x = 488,171,268,064,203,008
  5. Step 5: Solve for x
    x = 488,171,268,064,203,008/590,071,231.20
  6. Step 6: Final answer
    x = 827,309,047.20

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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.