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Finding the Fourth Proportional to 24,481,092,198.30, 34,338,832,547.70 and 24,481,092,198.30

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Solution

The fourth proportional to 24,481,092,198.30, 34,338,832,547.70 and 24,481,092,198.30 is: 34,338,832,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481,092,198.30 : 34,338,832,547.70 = 24,481,092,198.30 : x
  2. Step 2: Convert to fraction form
    24,481,092,198.30/34,338,832,547.70 = 24,481,092,198.30/x
  3. Step 3: Cross multiply
    24,481,092,198.30x = 34,338,832,547.70 × 24,481,092,198.30
  4. Step 4: Simplify right side
    24,481,092,198.30x = 840,652,125,582,228,586,496
  5. Step 5: Solve for x
    x = 840,652,125,582,228,586,496/24,481,092,198.30
  6. Step 6: Final answer
    x = 34,338,832,547.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.