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Finding the Fourth Proportional to 32,505,941,706.60, 48,758,912,559.90 and 32,505,941,706.60

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Solution

The fourth proportional to 32,505,941,706.60, 48,758,912,559.90 and 32,505,941,706.60 is: 48,758,912,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505,941,706.60 : 48,758,912,559.90 = 32,505,941,706.60 : x
  2. Step 2: Convert to fraction form
    32,505,941,706.60/48,758,912,559.90 = 32,505,941,706.60/x
  3. Step 3: Cross multiply
    32,505,941,706.60x = 48,758,912,559.90 × 32,505,941,706.60
  4. Step 4: Simplify right side
    32,505,941,706.60x = 1,584,954,369,349,315,985,408
  5. Step 5: Solve for x
    x = 1,584,954,369,349,315,985,408/32,505,941,706.60
  6. Step 6: Final answer
    x = 48,758,912,559.90

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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.