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Finding the Fourth Proportional to 844,366,932.81, 1,165,224,349.80 and 462,888,286.29

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Solution

The fourth proportional to 844,366,932.81, 1,165,224,349.80 and 462,888,286.29 is: 638,784,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,366,932.81 : 1,165,224,349.80 = 462,888,286.29 : x
  2. Step 2: Convert to fraction form
    844,366,932.81/1,165,224,349.80 = 462,888,286.29/x
  3. Step 3: Cross multiply
    844,366,932.81x = 1,165,224,349.80 × 462,888,286.29
  4. Step 4: Simplify right side
    844,366,932.81x = 539,368,702,422,301,504
  5. Step 5: Solve for x
    x = 539,368,702,422,301,504/844,366,932.81
  6. Step 6: Final answer
    x = 638,784,729.08

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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.