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Finding the Fourth Proportional to 842,798,837.66, 1,163,064,884.33 and 466,481,562.80

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Solution

The fourth proportional to 842,798,837.66, 1,163,064,884.33 and 466,481,562.80 is: 643,745,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,798,837.66 : 1,163,064,884.33 = 466,481,562.80 : x
  2. Step 2: Convert to fraction form
    842,798,837.66/1,163,064,884.33 = 466,481,562.80/x
  3. Step 3: Cross multiply
    842,798,837.66x = 1,163,064,884.33 × 466,481,562.80
  4. Step 4: Simplify right side
    842,798,837.66x = 542,548,324,877,727,232
  5. Step 5: Solve for x
    x = 542,548,324,877,727,232/842,798,837.66
  6. Step 6: Final answer
    x = 643,745,933.95

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