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Finding the Fourth Proportional to 485,876,139.10, 728,814,208.65 and 485,876,139.10

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Solution

The fourth proportional to 485,876,139.10, 728,814,208.65 and 485,876,139.10 is: 728,814,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,876,139.10 : 728,814,208.65 = 485,876,139.10 : x
  2. Step 2: Convert to fraction form
    485,876,139.10/728,814,208.65 = 485,876,139.10/x
  3. Step 3: Cross multiply
    485,876,139.10x = 728,814,208.65 × 485,876,139.10
  4. Step 4: Simplify right side
    485,876,139.10x = 354,113,433,820,083,840
  5. Step 5: Solve for x
    x = 354,113,433,820,083,840/485,876,139.10
  6. Step 6: Final answer
    x = 728,814,208.65

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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.