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Finding the Fourth Proportional to 8,938,728,096.40, 13,408,092,144.60 and 8,938,728,096.40

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Solution

The fourth proportional to 8,938,728,096.40, 13,408,092,144.60 and 8,938,728,096.40 is: 13,408,092,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938,728,096.40 : 13,408,092,144.60 = 8,938,728,096.40 : x
  2. Step 2: Convert to fraction form
    8,938,728,096.40/13,408,092,144.60 = 8,938,728,096.40/x
  3. Step 3: Cross multiply
    8,938,728,096.40x = 13,408,092,144.60 × 8,938,728,096.40
  4. Step 4: Simplify right side
    8,938,728,096.40x = 119,851,289,972,056,145,920
  5. Step 5: Solve for x
    x = 119,851,289,972,056,145,920/8,938,728,096.40
  6. Step 6: Final answer
    x = 13,408,092,144.60

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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.