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Finding the Fourth Proportional to 78,389,716.84, 117,576,977.32 and 23,802,782.20

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Solution

The fourth proportional to 78,389,716.84, 117,576,977.32 and 23,802,782.20 is: 35,701,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,389,716.84 : 117,576,977.32 = 23,802,782.20 : x
  2. Step 2: Convert to fraction form
    78,389,716.84/117,576,977.32 = 23,802,782.20/x
  3. Step 3: Cross multiply
    78,389,716.84x = 117,576,977.32 × 23,802,782.20
  4. Step 4: Simplify right side
    78,389,716.84x = 2,798,659,182,882,299.50
  5. Step 5: Solve for x
    x = 2,798,659,182,882,299.50/78,389,716.84
  6. Step 6: Final answer
    x = 35,701,866.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.