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Finding the Fourth Proportional to 542,593,265.60, 813,939,664.80 and 179,088,420.80

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Solution

The fourth proportional to 542,593,265.60, 813,939,664.80 and 179,088,420.80 is: 268,649,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,593,265.60 : 813,939,664.80 = 179,088,420.80 : x
  2. Step 2: Convert to fraction form
    542,593,265.60/813,939,664.80 = 179,088,420.80/x
  3. Step 3: Cross multiply
    542,593,265.60x = 813,939,664.80 × 179,088,420.80
  4. Step 4: Simplify right side
    542,593,265.60x = 145,767,169,195,513,344
  5. Step 5: Solve for x
    x = 145,767,169,195,513,344/542,593,265.60
  6. Step 6: Final answer
    x = 268,649,057.11

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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.