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Finding the Fourth Proportional to 542,304,019.40, 813,456,029.10 and 173,838,259.40

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Solution

The fourth proportional to 542,304,019.40, 813,456,029.10 and 173,838,259.40 is: 260,757,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,304,019.40 : 813,456,029.10 = 173,838,259.40 : x
  2. Step 2: Convert to fraction form
    542,304,019.40/813,456,029.10 = 173,838,259.40/x
  3. Step 3: Cross multiply
    542,304,019.40x = 813,456,029.10 × 173,838,259.40
  4. Step 4: Simplify right side
    542,304,019.40x = 141,409,780,197,179,760
  5. Step 5: Solve for x
    x = 141,409,780,197,179,760/542,304,019.40
  6. Step 6: Final answer
    x = 260,757,389.10

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Why These Related Problems?

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