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Finding the Fourth Proportional to 24,796,206,821.10, 37,194,310,231.65 and 24,796,206,821.10

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Solution

The fourth proportional to 24,796,206,821.10, 37,194,310,231.65 and 24,796,206,821.10 is: 37,194,310,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796,206,821.10 : 37,194,310,231.65 = 24,796,206,821.10 : x
  2. Step 2: Convert to fraction form
    24,796,206,821.10/37,194,310,231.65 = 24,796,206,821.10/x
  3. Step 3: Cross multiply
    24,796,206,821.10x = 37,194,310,231.65 × 24,796,206,821.10
  4. Step 4: Simplify right side
    24,796,206,821.10x = 922,277,809,072,149,233,664
  5. Step 5: Solve for x
    x = 922,277,809,072,149,233,664/24,796,206,821.10
  6. Step 6: Final answer
    x = 37,194,310,231.65

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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.