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Finding the Fourth Proportional to 82,978,783.40, 124,468,175.10 and 77,310,079.40

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Solution

The fourth proportional to 82,978,783.40, 124,468,175.10 and 77,310,079.40 is: 115,965,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,978,783.40 : 124,468,175.10 = 77,310,079.40 : x
  2. Step 2: Convert to fraction form
    82,978,783.40/124,468,175.10 = 77,310,079.40/x
  3. Step 3: Cross multiply
    82,978,783.40x = 124,468,175.10 × 77,310,079.40
  4. Step 4: Simplify right side
    82,978,783.40x = 9,622,644,499,754,104
  5. Step 5: Solve for x
    x = 9,622,644,499,754,104/82,978,783.40
  6. Step 6: Final answer
    x = 115,965,119.10

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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.