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Finding the Fourth Proportional to 117,005,985.80, 175,508,978.70 and 82,993,761.80

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Solution

The fourth proportional to 117,005,985.80, 175,508,978.70 and 82,993,761.80 is: 124,490,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005,985.80 : 175,508,978.70 = 82,993,761.80 : x
  2. Step 2: Convert to fraction form
    117,005,985.80/175,508,978.70 = 82,993,761.80/x
  3. Step 3: Cross multiply
    117,005,985.80x = 175,508,978.70 × 82,993,761.80
  4. Step 4: Simplify right side
    117,005,985.80x = 14,566,150,371,989,072
  5. Step 5: Solve for x
    x = 14,566,150,371,989,072/117,005,985.80
  6. Step 6: Final answer
    x = 124,490,642.70

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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.