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Finding the Fourth Proportional to 552,072,871.40, 827,405,967.90 and 293,412,007.40

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Solution

The fourth proportional to 552,072,871.40, 827,405,967.90 and 293,412,007.40 is: 439,744,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,072,871.40 : 827,405,967.90 = 293,412,007.40 : x
  2. Step 2: Convert to fraction form
    552,072,871.40/827,405,967.90 = 293,412,007.40/x
  3. Step 3: Cross multiply
    552,072,871.40x = 827,405,967.90 × 293,412,007.40
  4. Step 4: Simplify right side
    552,072,871.40x = 242,770,845,976,278,944
  5. Step 5: Solve for x
    x = 242,770,845,976,278,944/552,072,871.40
  6. Step 6: Final answer
    x = 439,744,205.07

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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.