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Finding the Fourth Proportional to 32,294,831,157.20, 48,442,246,735.80 and 32,294,831,157.20

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Solution

The fourth proportional to 32,294,831,157.20, 48,442,246,735.80 and 32,294,831,157.20 is: 48,442,246,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294,831,157.20 : 48,442,246,735.80 = 32,294,831,157.20 : x
  2. Step 2: Convert to fraction form
    32,294,831,157.20/48,442,246,735.80 = 32,294,831,157.20/x
  3. Step 3: Cross multiply
    32,294,831,157.20x = 48,442,246,735.80 × 32,294,831,157.20
  4. Step 4: Simplify right side
    32,294,831,157.20x = 1,564,434,179,208,083,931,136
  5. Step 5: Solve for x
    x = 1,564,434,179,208,083,931,136/32,294,831,157.20
  6. Step 6: Final answer
    x = 48,442,246,735.80

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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.