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Finding the Fourth Proportional to 32,595,156,694.20, 48,892,735,041.30 and 32,595,156,694.20

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Solution

The fourth proportional to 32,595,156,694.20, 48,892,735,041.30 and 32,595,156,694.20 is: 48,892,735,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,156,694.20 : 48,892,735,041.30 = 32,595,156,694.20 : x
  2. Step 2: Convert to fraction form
    32,595,156,694.20/48,892,735,041.30 = 32,595,156,694.20/x
  3. Step 3: Cross multiply
    32,595,156,694.20x = 48,892,735,041.30 × 32,595,156,694.20
  4. Step 4: Simplify right side
    32,595,156,694.20x = 1,593,666,359,879,176,814,592
  5. Step 5: Solve for x
    x = 1,593,666,359,879,176,814,592/32,595,156,694.20
  6. Step 6: Final answer
    x = 48,892,735,041.30

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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.