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Finding the Fourth Proportional to 12,489,624,581,200, 18,699,172,997,957 and 12,489,624,581,200

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Solution

The fourth proportional to 12,489,624,581,200, 18,699,172,997,957 and 12,489,624,581,200 is: 18,699,172,997,957

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489,624,581,200 : 18,699,172,997,957 = 12,489,624,581,200 : x
  2. Step 2: Convert to fraction form
    12,489,624,581,200/18,699,172,997,957 = 12,489,624,581,200/x
  3. Step 3: Cross multiply
    12,489,624,581,200x = 18,699,172,997,957 × 12,489,624,581,200
  4. Step 4: Simplify right side
    12,489,624,581,200x = 233,545,650,723,395,030,218,702,848
  5. Step 5: Solve for x
    x = 233,545,650,723,395,030,218,702,848/12,489,624,581,200
  6. Step 6: Final answer
    x = 18,699,172,997,957

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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.