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Finding the Fourth Proportional to 275,978,111.40, 413,967,167.10 and 207,103,357.80

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Solution

The fourth proportional to 275,978,111.40, 413,967,167.10 and 207,103,357.80 is: 310,655,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,978,111.40 : 413,967,167.10 = 207,103,357.80 : x
  2. Step 2: Convert to fraction form
    275,978,111.40/413,967,167.10 = 207,103,357.80/x
  3. Step 3: Cross multiply
    275,978,111.40x = 413,967,167.10 × 207,103,357.80
  4. Step 4: Simplify right side
    275,978,111.40x = 85,733,990,325,363,696
  5. Step 5: Solve for x
    x = 85,733,990,325,363,696/275,978,111.40
  6. Step 6: Final answer
    x = 310,655,036.70

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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.