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Finding the Fourth Proportional to 178,159,318.70, 267,238,978.05 and 149,461,504.70

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Solution

The fourth proportional to 178,159,318.70, 267,238,978.05 and 149,461,504.70 is: 224,192,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,159,318.70 : 267,238,978.05 = 149,461,504.70 : x
  2. Step 2: Convert to fraction form
    178,159,318.70/267,238,978.05 = 149,461,504.70/x
  3. Step 3: Cross multiply
    178,159,318.70x = 267,238,978.05 × 149,461,504.70
  4. Step 4: Simplify right side
    178,159,318.70x = 39,941,939,773,843,272
  5. Step 5: Solve for x
    x = 39,941,939,773,843,272/178,159,318.70
  6. Step 6: Final answer
    x = 224,192,257.05

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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.