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Finding the Fourth Proportional to 1,992,899,108.10, 2,989,348,662.15 and 1,992,899,108.10

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Solution

The fourth proportional to 1,992,899,108.10, 2,989,348,662.15 and 1,992,899,108.10 is: 2,989,348,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,899,108.10 : 2,989,348,662.15 = 1,992,899,108.10 : x
  2. Step 2: Convert to fraction form
    1,992,899,108.10/2,989,348,662.15 = 1,992,899,108.10/x
  3. Step 3: Cross multiply
    1,992,899,108.10x = 2,989,348,662.15 × 1,992,899,108.10
  4. Step 4: Simplify right side
    1,992,899,108.10x = 5,957,470,282,598,663,168
  5. Step 5: Solve for x
    x = 5,957,470,282,598,663,168/1,992,899,108.10
  6. Step 6: Final answer
    x = 2,989,348,662.15

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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.