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Finding the Fourth Proportional to 52,164,069,198.30, 78,246,103,797.45 and 52,164,069,198.30

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Solution

The fourth proportional to 52,164,069,198.30, 78,246,103,797.45 and 52,164,069,198.30 is: 78,246,103,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164,069,198.30 : 78,246,103,797.45 = 52,164,069,198.30 : x
  2. Step 2: Convert to fraction form
    52,164,069,198.30/78,246,103,797.45 = 52,164,069,198.30/x
  3. Step 3: Cross multiply
    52,164,069,198.30x = 78,246,103,797.45 × 52,164,069,198.30
  4. Step 4: Simplify right side
    52,164,069,198.30x = 4,081,635,172,987,546,107,904
  5. Step 5: Solve for x
    x = 4,081,635,172,987,546,107,904/52,164,069,198.30
  6. Step 6: Final answer
    x = 78,246,103,797.45

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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.