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Finding the Fourth Proportional to 854,709,286.24, 1,274,877,850.78 and 776,244,679.80

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Solution

The fourth proportional to 854,709,286.24, 1,274,877,850.78 and 776,244,679.80 is: 1,157,840,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,709,286.24 : 1,274,877,850.78 = 776,244,679.80 : x
  2. Step 2: Convert to fraction form
    854,709,286.24/1,274,877,850.78 = 776,244,679.80/x
  3. Step 3: Cross multiply
    854,709,286.24x = 1,274,877,850.78 × 776,244,679.80
  4. Step 4: Simplify right side
    854,709,286.24x = 989,617,149,062,833,152
  5. Step 5: Solve for x
    x = 989,617,149,062,833,152/854,709,286.24
  6. Step 6: Final answer
    x = 1,157,840,642.42

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1.5x scale

Why These Related Problems?

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