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Finding the Fourth Proportional to 485,749,640.80, 728,624,461.20 and 485,749,640.80

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Solution

The fourth proportional to 485,749,640.80, 728,624,461.20 and 485,749,640.80 is: 728,624,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,749,640.80 : 728,624,461.20 = 485,749,640.80 : x
  2. Step 2: Convert to fraction form
    485,749,640.80/728,624,461.20 = 485,749,640.80/x
  3. Step 3: Cross multiply
    485,749,640.80x = 728,624,461.20 × 485,749,640.80
  4. Step 4: Simplify right side
    485,749,640.80x = 353,929,070,305,993,600
  5. Step 5: Solve for x
    x = 353,929,070,305,993,600/485,749,640.80
  6. Step 6: Final answer
    x = 728,624,461.20

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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.