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Finding the Fourth Proportional to 14,677,149,905.60, 20,606,057,396.80 and 14,677,149,905.60

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Solution

The fourth proportional to 14,677,149,905.60, 20,606,057,396.80 and 14,677,149,905.60 is: 20,606,057,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677,149,905.60 : 20,606,057,396.80 = 14,677,149,905.60 : x
  2. Step 2: Convert to fraction form
    14,677,149,905.60/20,606,057,396.80 = 14,677,149,905.60/x
  3. Step 3: Cross multiply
    14,677,149,905.60x = 20,606,057,396.80 × 14,677,149,905.60
  4. Step 4: Simplify right side
    14,677,149,905.60x = 302,438,193,376,231,292,928
  5. Step 5: Solve for x
    x = 302,438,193,376,231,292,928/14,677,149,905.60
  6. Step 6: Final answer
    x = 20,606,057,396.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.