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Finding the Fourth Proportional to 503,529,275,872.80, 755,293,913,809.20 and 503,529,275,872.80

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Solution

The fourth proportional to 503,529,275,872.80, 755,293,913,809.20 and 503,529,275,872.80 is: 755,293,913,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,529,275,872.80 : 755,293,913,809.20 = 503,529,275,872.80 : x
  2. Step 2: Convert to fraction form
    503,529,275,872.80/755,293,913,809.20 = 503,529,275,872.80/x
  3. Step 3: Cross multiply
    503,529,275,872.80x = 755,293,913,809.20 × 503,529,275,872.80
  4. Step 4: Simplify right side
    503,529,275,872.80x = 380,312,597,491,479,444,717,568
  5. Step 5: Solve for x
    x = 380,312,597,491,479,444,717,568/503,529,275,872.80
  6. Step 6: Final answer
    x = 755,293,913,809.20

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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.