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Finding the Fourth Proportional to 512,443,117.80, 768,664,676.70 and 236,093,797.80

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Solution

The fourth proportional to 512,443,117.80, 768,664,676.70 and 236,093,797.80 is: 354,140,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,443,117.80 : 768,664,676.70 = 236,093,797.80 : x
  2. Step 2: Convert to fraction form
    512,443,117.80/768,664,676.70 = 236,093,797.80/x
  3. Step 3: Cross multiply
    512,443,117.80x = 768,664,676.70 × 236,093,797.80
  4. Step 4: Simplify right side
    512,443,117.80x = 181,476,962,756,812,192
  5. Step 5: Solve for x
    x = 181,476,962,756,812,192/512,443,117.80
  6. Step 6: Final answer
    x = 354,140,696.70

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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.