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Finding the Fourth Proportional to 208,597,084.80, 313,037,344.80 and 116,480,644.80

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Solution

The fourth proportional to 208,597,084.80, 313,037,344.80 and 116,480,644.80 is: 174,800,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,597,084.80 : 313,037,344.80 = 116,480,644.80 : x
  2. Step 2: Convert to fraction form
    208,597,084.80/313,037,344.80 = 116,480,644.80/x
  3. Step 3: Cross multiply
    208,597,084.80x = 313,037,344.80 × 116,480,644.80
  4. Step 4: Simplify right side
    208,597,084.80x = 36,462,791,768,783,928
  5. Step 5: Solve for x
    x = 36,462,791,768,783,928/208,597,084.80
  6. Step 6: Final answer
    x = 174,800,102.33

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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.