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Finding the Fourth Proportional to 32,595,156,777.55, 48,892,735,166.33 and 32,595,156,777.55

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Solution

The fourth proportional to 32,595,156,777.55, 48,892,735,166.33 and 32,595,156,777.55 is: 48,892,735,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,156,777.55 : 48,892,735,166.33 = 32,595,156,777.55 : x
  2. Step 2: Convert to fraction form
    32,595,156,777.55/48,892,735,166.33 = 32,595,156,777.55/x
  3. Step 3: Cross multiply
    32,595,156,777.55x = 48,892,735,166.33 × 32,595,156,777.55
  4. Step 4: Simplify right side
    32,595,156,777.55x = 1,593,666,368,029,758,586,880
  5. Step 5: Solve for x
    x = 1,593,666,368,029,758,586,880/32,595,156,777.55
  6. Step 6: Final answer
    x = 48,892,735,166.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.