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Finding the Fourth Proportional to 314,804,638.80, 472,206,958.20 and 161,749,630.80

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Solution

The fourth proportional to 314,804,638.80, 472,206,958.20 and 161,749,630.80 is: 242,624,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804,638.80 : 472,206,958.20 = 161,749,630.80 : x
  2. Step 2: Convert to fraction form
    314,804,638.80/472,206,958.20 = 161,749,630.80/x
  3. Step 3: Cross multiply
    314,804,638.80x = 472,206,958.20 × 161,749,630.80
  4. Step 4: Simplify right side
    314,804,638.80x = 76,379,301,150,041,040
  5. Step 5: Solve for x
    x = 76,379,301,150,041,040/314,804,638.80
  6. Step 6: Final answer
    x = 242,624,446.20

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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.