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Finding the Fourth Proportional to 329,767,234.80, 494,650,852.20 and 214,975,978.80

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Solution

The fourth proportional to 329,767,234.80, 494,650,852.20 and 214,975,978.80 is: 322,463,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,767,234.80 : 494,650,852.20 = 214,975,978.80 : x
  2. Step 2: Convert to fraction form
    329,767,234.80/494,650,852.20 = 214,975,978.80/x
  3. Step 3: Cross multiply
    329,767,234.80x = 494,650,852.20 × 214,975,978.80
  4. Step 4: Simplify right side
    329,767,234.80x = 106,338,051,115,949,136
  5. Step 5: Solve for x
    x = 106,338,051,115,949,136/329,767,234.80
  6. Step 6: Final answer
    x = 322,463,968.20

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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.