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Finding the Fourth Proportional to 100,602,004.80, 150,903,007.20 and 49,583,668.80

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Solution

The fourth proportional to 100,602,004.80, 150,903,007.20 and 49,583,668.80 is: 74,375,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602,004.80 : 150,903,007.20 = 49,583,668.80 : x
  2. Step 2: Convert to fraction form
    100,602,004.80/150,903,007.20 = 49,583,668.80/x
  3. Step 3: Cross multiply
    100,602,004.80x = 150,903,007.20 × 49,583,668.80
  4. Step 4: Simplify right side
    100,602,004.80x = 7,482,324,729,928,814
  5. Step 5: Solve for x
    x = 7,482,324,729,928,814/100,602,004.80
  6. Step 6: Final answer
    x = 74,375,503.20

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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.