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Finding the Fourth Proportional to 329,978,590.40, 494,967,885.60 and 148,580,062.40

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Solution

The fourth proportional to 329,978,590.40, 494,967,885.60 and 148,580,062.40 is: 222,870,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,978,590.40 : 494,967,885.60 = 148,580,062.40 : x
  2. Step 2: Convert to fraction form
    329,978,590.40/494,967,885.60 = 148,580,062.40/x
  3. Step 3: Cross multiply
    329,978,590.40x = 494,967,885.60 × 148,580,062.40
  4. Step 4: Simplify right side
    329,978,590.40x = 73,542,359,328,444,064
  5. Step 5: Solve for x
    x = 73,542,359,328,444,064/329,978,590.40
  6. Step 6: Final answer
    x = 222,870,093.60

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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.