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Finding the Fourth Proportional to 178,086,971.80, 267,130,457.70 and 147,853,883.80

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Solution

The fourth proportional to 178,086,971.80, 267,130,457.70 and 147,853,883.80 is: 221,780,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,086,971.80 : 267,130,457.70 = 147,853,883.80 : x
  2. Step 2: Convert to fraction form
    178,086,971.80/267,130,457.70 = 147,853,883.80/x
  3. Step 3: Cross multiply
    178,086,971.80x = 267,130,457.70 × 147,853,883.80
  4. Step 4: Simplify right side
    178,086,971.80x = 39,496,275,652,216,616
  5. Step 5: Solve for x
    x = 39,496,275,652,216,616/178,086,971.80
  6. Step 6: Final answer
    x = 221,780,825.70

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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.