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Finding the Fourth Proportional to 459,895,974.62, 689,843,992 and 367,346,396.54

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Solution

The fourth proportional to 459,895,974.62, 689,843,992 and 367,346,396.54 is: 551,019,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,895,974.62 : 689,843,992 = 367,346,396.54 : x
  2. Step 2: Convert to fraction form
    459,895,974.62/689,843,992 = 367,346,396.54/x
  3. Step 3: Cross multiply
    459,895,974.62x = 689,843,992 × 367,346,396.54
  4. Step 4: Simplify right side
    459,895,974.62x = 253,411,704,635,968,608
  5. Step 5: Solve for x
    x = 253,411,704,635,968,608/459,895,974.62
  6. Step 6: Final answer
    x = 551,019,618.83

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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.