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Finding the Fourth Proportional to 320,673,959.80, 481,010,939.70 and 274,757,457.40

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Solution

The fourth proportional to 320,673,959.80, 481,010,939.70 and 274,757,457.40 is: 412,136,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,673,959.80 : 481,010,939.70 = 274,757,457.40 : x
  2. Step 2: Convert to fraction form
    320,673,959.80/481,010,939.70 = 274,757,457.40/x
  3. Step 3: Cross multiply
    320,673,959.80x = 481,010,939.70 × 274,757,457.40
  4. Step 4: Simplify right side
    320,673,959.80x = 132,161,342,773,556,704
  5. Step 5: Solve for x
    x = 132,161,342,773,556,704/320,673,959.80
  6. Step 6: Final answer
    x = 412,136,186.10

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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.