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Finding the Fourth Proportional to 854,709,286.74, 1,274,877,851.52 and 776,244,680.30

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Solution

The fourth proportional to 854,709,286.74, 1,274,877,851.52 and 776,244,680.30 is: 1,157,840,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,709,286.74 : 1,274,877,851.52 = 776,244,680.30 : x
  2. Step 2: Convert to fraction form
    854,709,286.74/1,274,877,851.52 = 776,244,680.30/x
  3. Step 3: Cross multiply
    854,709,286.74x = 1,274,877,851.52 × 776,244,680.30
  4. Step 4: Simplify right side
    854,709,286.74x = 989,617,150,268,318,848
  5. Step 5: Solve for x
    x = 989,617,150,268,318,848/854,709,286.74
  6. Step 6: Final answer
    x = 1,157,840,643.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.