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Finding the Fourth Proportional to 100,742,205.80, 150,861,366.30 and 80,586,813.80

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Solution

The fourth proportional to 100,742,205.80, 150,861,366.30 and 80,586,813.80 is: 120,678,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742,205.80 : 150,861,366.30 = 80,586,813.80 : x
  2. Step 2: Convert to fraction form
    100,742,205.80/150,861,366.30 = 80,586,813.80/x
  3. Step 3: Cross multiply
    100,742,205.80x = 150,861,366.30 × 80,586,813.80
  4. Step 4: Simplify right side
    100,742,205.80x = 12,157,436,835,631,696
  5. Step 5: Solve for x
    x = 12,157,436,835,631,696/100,742,205.80
  6. Step 6: Final answer
    x = 120,678,684.16

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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.