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Finding the Fourth Proportional to 33,009,969,176.55, 49,514,953,764.83 and 33,009,969,176.55

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Solution

The fourth proportional to 33,009,969,176.55, 49,514,953,764.83 and 33,009,969,176.55 is: 49,514,953,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009,969,176.55 : 49,514,953,764.83 = 33,009,969,176.55 : x
  2. Step 2: Convert to fraction form
    33,009,969,176.55/49,514,953,764.83 = 33,009,969,176.55/x
  3. Step 3: Cross multiply
    33,009,969,176.55x = 49,514,953,764.83 × 33,009,969,176.55
  4. Step 4: Simplify right side
    33,009,969,176.55x = 1,634,487,097,555,171,409,920
  5. Step 5: Solve for x
    x = 1,634,487,097,555,171,409,920/33,009,969,176.55
  6. Step 6: Final answer
    x = 49,514,953,764.83

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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.