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Finding the Fourth Proportional to 511,686,713.12, 706,127,664.79 and 276,737,374.19

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Solution

The fourth proportional to 511,686,713.12, 706,127,664.79 and 276,737,374.19 is: 381,897,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,686,713.12 : 706,127,664.79 = 276,737,374.19 : x
  2. Step 2: Convert to fraction form
    511,686,713.12/706,127,664.79 = 276,737,374.19/x
  3. Step 3: Cross multiply
    511,686,713.12x = 706,127,664.79 × 276,737,374.19
  4. Step 4: Simplify right side
    511,686,713.12x = 195,411,915,799,012,352
  5. Step 5: Solve for x
    x = 195,411,915,799,012,352/511,686,713.12
  6. Step 6: Final answer
    x = 381,897,576.76

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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.