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Finding the Fourth Proportional to 209,952,409.80, 314,928,614.70 and 73,637,793.30

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Solution

The fourth proportional to 209,952,409.80, 314,928,614.70 and 73,637,793.30 is: 110,456,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,409.80 : 314,928,614.70 = 73,637,793.30 : x
  2. Step 2: Convert to fraction form
    209,952,409.80/314,928,614.70 = 73,637,793.30/x
  3. Step 3: Cross multiply
    209,952,409.80x = 314,928,614.70 × 73,637,793.30
  4. Step 4: Simplify right side
    209,952,409.80x = 23,190,648,233,533,940
  5. Step 5: Solve for x
    x = 23,190,648,233,533,940/209,952,409.80
  6. Step 6: Final answer
    x = 110,456,689.95

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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.