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Finding the Fourth Proportional to 138,308,127,310.20, 207,462,190,965.30 and 138,308,127,310.20

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Solution

The fourth proportional to 138,308,127,310.20, 207,462,190,965.30 and 138,308,127,310.20 is: 207,462,190,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308,127,310.20 : 207,462,190,965.30 = 138,308,127,310.20 : x
  2. Step 2: Convert to fraction form
    138,308,127,310.20/207,462,190,965.30 = 138,308,127,310.20/x
  3. Step 3: Cross multiply
    138,308,127,310.20x = 207,462,190,965.30 × 138,308,127,310.20
  4. Step 4: Simplify right side
    138,308,127,310.20x = 28,693,707,120,081,738,137,600
  5. Step 5: Solve for x
    x = 28,693,707,120,081,738,137,600/138,308,127,310.20
  6. Step 6: Final answer
    x = 207,462,190,965.30

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1.5x scale

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.