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Finding the Fourth Proportional to 11,347,826,737.60, 16,991,129,104.80 and 11,347,826,737.60

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Solution

The fourth proportional to 11,347,826,737.60, 16,991,129,104.80 and 11,347,826,737.60 is: 16,991,129,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347,826,737.60 : 16,991,129,104.80 = 11,347,826,737.60 : x
  2. Step 2: Convert to fraction form
    11,347,826,737.60/16,991,129,104.80 = 11,347,826,737.60/x
  3. Step 3: Cross multiply
    11,347,826,737.60x = 16,991,129,104.80 × 11,347,826,737.60
  4. Step 4: Simplify right side
    11,347,826,737.60x = 192,812,389,157,462,999,040
  5. Step 5: Solve for x
    x = 192,812,389,157,462,999,040/11,347,826,737.60
  6. Step 6: Final answer
    x = 16,991,129,104.80

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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.