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Finding the Fourth Proportional to 100,602,013.80, 150,903,020.70 and 49,583,677.80

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Solution

The fourth proportional to 100,602,013.80, 150,903,020.70 and 49,583,677.80 is: 74,375,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602,013.80 : 150,903,020.70 = 49,583,677.80 : x
  2. Step 2: Convert to fraction form
    100,602,013.80/150,903,020.70 = 49,583,677.80/x
  3. Step 3: Cross multiply
    100,602,013.80x = 150,903,020.70 × 49,583,677.80
  4. Step 4: Simplify right side
    100,602,013.80x = 7,482,326,757,435,529
  5. Step 5: Solve for x
    x = 7,482,326,757,435,529/100,602,013.80
  6. Step 6: Final answer
    x = 74,375,516.70

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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.