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Finding the Fourth Proportional to 729,295,662.11, 1,005,427,825.88 and 461,237,891.98

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Solution

The fourth proportional to 729,295,662.11, 1,005,427,825.88 and 461,237,891.98 is: 635,875,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,295,662.11 : 1,005,427,825.88 = 461,237,891.98 : x
  2. Step 2: Convert to fraction form
    729,295,662.11/1,005,427,825.88 = 461,237,891.98/x
  3. Step 3: Cross multiply
    729,295,662.11x = 1,005,427,825.88 × 461,237,891.98
  4. Step 4: Simplify right side
    729,295,662.11x = 463,741,410,946,925,696
  5. Step 5: Solve for x
    x = 463,741,410,946,925,696/729,295,662.11
  6. Step 6: Final answer
    x = 635,875,729.20

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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.