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Finding the Fourth Proportional to 57,682,920,742.20, 86,524,381,113.30 and 57,682,920,742.20

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Solution

The fourth proportional to 57,682,920,742.20, 86,524,381,113.30 and 57,682,920,742.20 is: 86,524,381,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682,920,742.20 : 86,524,381,113.30 = 57,682,920,742.20 : x
  2. Step 2: Convert to fraction form
    57,682,920,742.20/86,524,381,113.30 = 57,682,920,742.20/x
  3. Step 3: Cross multiply
    57,682,920,742.20x = 86,524,381,113.30 × 57,682,920,742.20
  4. Step 4: Simplify right side
    57,682,920,742.20x = 4,990,979,018,026,390,650,880
  5. Step 5: Solve for x
    x = 4,990,979,018,026,390,650,880/57,682,920,742.20
  6. Step 6: Final answer
    x = 86,524,381,113.30

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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.