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Finding the Fourth Proportional to 2,797,364,691,311, 4,196,047,036,966.20 and 2,797,364,691,311

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Solution

The fourth proportional to 2,797,364,691,311, 4,196,047,036,966.20 and 2,797,364,691,311 is: 4,196,047,036,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,364,691,311 : 4,196,047,036,966.20 = 2,797,364,691,311 : x
  2. Step 2: Convert to fraction form
    2,797,364,691,311/4,196,047,036,966.20 = 2,797,364,691,311/x
  3. Step 3: Cross multiply
    2,797,364,691,311x = 4,196,047,036,966.20 × 2,797,364,691,311
  4. Step 4: Simplify right side
    2,797,364,691,311x = 11,737,873,824,289,390,457,782,272
  5. Step 5: Solve for x
    x = 11,737,873,824,289,390,457,782,272/2,797,364,691,311
  6. Step 6: Final answer
    x = 4,196,047,036,966.20

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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.