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Finding the Fourth Proportional to 414,231,065.51, 571,650,978.02 and 226,071,435.38

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Solution

The fourth proportional to 414,231,065.51, 571,650,978.02 and 226,071,435.38 is: 311,985,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,231,065.51 : 571,650,978.02 = 226,071,435.38 : x
  2. Step 2: Convert to fraction form
    414,231,065.51/571,650,978.02 = 226,071,435.38/x
  3. Step 3: Cross multiply
    414,231,065.51x = 571,650,978.02 × 226,071,435.38
  4. Step 4: Simplify right side
    414,231,065.51x = 129,233,957,133,373,616
  5. Step 5: Solve for x
    x = 129,233,957,133,373,616/414,231,065.51
  6. Step 6: Final answer
    x = 311,985,188.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.