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Finding the Fourth Proportional to 827,369,338, 1,141,777,561.80 and 456,104,684.56

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Solution

The fourth proportional to 827,369,338, 1,141,777,561.80 and 456,104,684.56 is: 629,428,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,369,338 : 1,141,777,561.80 = 456,104,684.56 : x
  2. Step 2: Convert to fraction form
    827,369,338/1,141,777,561.80 = 456,104,684.56/x
  3. Step 3: Cross multiply
    827,369,338x = 1,141,777,561.80 × 456,104,684.56
  4. Step 4: Simplify right side
    827,369,338x = 520,770,094,662,474,880
  5. Step 5: Solve for x
    x = 520,770,094,662,474,880/827,369,338
  6. Step 6: Final answer
    x = 629,428,806.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.