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Finding the Fourth Proportional to 1,992,897,138.30, 2,989,345,707.45 and 1,992,897,138.30

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Solution

The fourth proportional to 1,992,897,138.30, 2,989,345,707.45 and 1,992,897,138.30 is: 2,989,345,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,897,138.30 : 2,989,345,707.45 = 1,992,897,138.30 : x
  2. Step 2: Convert to fraction form
    1,992,897,138.30/2,989,345,707.45 = 1,992,897,138.30/x
  3. Step 3: Cross multiply
    1,992,897,138.30x = 2,989,345,707.45 × 1,992,897,138.30
  4. Step 4: Simplify right side
    1,992,897,138.30x = 5,957,458,505,766,493,184
  5. Step 5: Solve for x
    x = 5,957,458,505,766,493,184/1,992,897,138.30
  6. Step 6: Final answer
    x = 2,989,345,707.45

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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.