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Finding the Fourth Proportional to 117,006,005.80, 175,509,008.70 and 82,993,781.80

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Solution

The fourth proportional to 117,006,005.80, 175,509,008.70 and 82,993,781.80 is: 124,490,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006,005.80 : 175,509,008.70 = 82,993,781.80 : x
  2. Step 2: Convert to fraction form
    117,006,005.80/175,509,008.70 = 82,993,781.80/x
  3. Step 3: Cross multiply
    117,006,005.80x = 175,509,008.70 × 82,993,781.80
  4. Step 4: Simplify right side
    117,006,005.80x = 14,566,156,371,982,100
  5. Step 5: Solve for x
    x = 14,566,156,371,982,100/117,006,005.80
  6. Step 6: Final answer
    x = 124,490,672.70

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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.