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Finding the Fourth Proportional to 173,840,764,823.30, 260,761,147,234.95 and 173,840,764,823.30

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Solution

The fourth proportional to 173,840,764,823.30, 260,761,147,234.95 and 173,840,764,823.30 is: 260,761,147,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,764,823.30 : 260,761,147,234.95 = 173,840,764,823.30 : x
  2. Step 2: Convert to fraction form
    173,840,764,823.30/260,761,147,234.95 = 173,840,764,823.30/x
  3. Step 3: Cross multiply
    173,840,764,823.30x = 260,761,147,234.95 × 173,840,764,823.30
  4. Step 4: Simplify right side
    173,840,764,823.30x = 45,330,917,271,524,845,027,328
  5. Step 5: Solve for x
    x = 45,330,917,271,524,845,027,328/173,840,764,823.30
  6. Step 6: Final answer
    x = 260,761,147,234.95

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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.