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Finding the Fourth Proportional to 511,158,324.75, 705,398,458.23 and 276,208,978.53

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Solution

The fourth proportional to 511,158,324.75, 705,398,458.23 and 276,208,978.53 is: 381,168,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,158,324.75 : 705,398,458.23 = 276,208,978.53 : x
  2. Step 2: Convert to fraction form
    511,158,324.75/705,398,458.23 = 276,208,978.53/x
  3. Step 3: Cross multiply
    511,158,324.75x = 705,398,458.23 × 276,208,978.53
  4. Step 4: Simplify right side
    511,158,324.75x = 194,837,387,606,990,432
  5. Step 5: Solve for x
    x = 194,837,387,606,990,432/511,158,324.75
  6. Step 6: Final answer
    x = 381,168,374.21

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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.