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Finding the Fourth Proportional to 542,304,006.40, 813,456,009.60 and 173,838,246.40

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Solution

The fourth proportional to 542,304,006.40, 813,456,009.60 and 173,838,246.40 is: 260,757,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,304,006.40 : 813,456,009.60 = 173,838,246.40 : x
  2. Step 2: Convert to fraction form
    542,304,006.40/813,456,009.60 = 173,838,246.40/x
  3. Step 3: Cross multiply
    542,304,006.40x = 813,456,009.60 × 173,838,246.40
  4. Step 4: Simplify right side
    542,304,006.40x = 141,409,766,232,405,568
  5. Step 5: Solve for x
    x = 141,409,766,232,405,568/542,304,006.40
  6. Step 6: Final answer
    x = 260,757,369.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.