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Finding the Fourth Proportional to 27,188,205,026.65, 40,782,307,539.98 and 27,188,205,026.65

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Solution

The fourth proportional to 27,188,205,026.65, 40,782,307,539.98 and 27,188,205,026.65 is: 40,782,307,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188,205,026.65 : 40,782,307,539.98 = 27,188,205,026.65 : x
  2. Step 2: Convert to fraction form
    27,188,205,026.65/40,782,307,539.98 = 27,188,205,026.65/x
  3. Step 3: Cross multiply
    27,188,205,026.65x = 40,782,307,539.98 × 27,188,205,026.65
  4. Step 4: Simplify right side
    27,188,205,026.65x = 1,108,797,738,856,734,523,392
  5. Step 5: Solve for x
    x = 1,108,797,738,856,734,523,392/27,188,205,026.65
  6. Step 6: Final answer
    x = 40,782,307,539.98

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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.