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Finding the Fourth Proportional to 983,066,977.62, 1,356,955,729.98 and 782,491,771.29

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Solution

The fourth proportional to 983,066,977.62, 1,356,955,729.98 and 782,491,771.29 is: 1,080,095,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,066,977.62 : 1,356,955,729.98 = 782,491,771.29 : x
  2. Step 2: Convert to fraction form
    983,066,977.62/1,356,955,729.98 = 782,491,771.29/x
  3. Step 3: Cross multiply
    983,066,977.62x = 1,356,955,729.98 × 782,491,771.29
  4. Step 4: Simplify right side
    983,066,977.62x = 1,061,806,692,714,165,120
  5. Step 5: Solve for x
    x = 1,061,806,692,714,165,120/983,066,977.62
  6. Step 6: Final answer
    x = 1,080,095,982.15

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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.