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Finding the Fourth Proportional to 698,893,174.22, 964,492,767.60 and 385,647,560.42

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Solution

The fourth proportional to 698,893,174.22, 964,492,767.60 and 385,647,560.42 is: 532,204,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,893,174.22 : 964,492,767.60 = 385,647,560.42 : x
  2. Step 2: Convert to fraction form
    698,893,174.22/964,492,767.60 = 385,647,560.42/x
  3. Step 3: Cross multiply
    698,893,174.22x = 964,492,767.60 × 385,647,560.42
  4. Step 4: Simplify right side
    698,893,174.22x = 371,954,282,867,674,048
  5. Step 5: Solve for x
    x = 371,954,282,867,674,048/698,893,174.22
  6. Step 6: Final answer
    x = 532,204,772.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.