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Finding the Fourth Proportional to 82,978,784.90, 124,468,177.35 and 77,310,080.90

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Solution

The fourth proportional to 82,978,784.90, 124,468,177.35 and 77,310,080.90 is: 115,965,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,978,784.90 : 124,468,177.35 = 77,310,080.90 : x
  2. Step 2: Convert to fraction form
    82,978,784.90/124,468,177.35 = 77,310,080.90/x
  3. Step 3: Cross multiply
    82,978,784.90x = 124,468,177.35 × 77,310,080.90
  4. Step 4: Simplify right side
    82,978,784.90x = 9,622,644,860,404,048
  5. Step 5: Solve for x
    x = 9,622,644,860,404,048/82,978,784.90
  6. Step 6: Final answer
    x = 115,965,121.35

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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.