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Finding the Fourth Proportional to 12,589,344,008.60, 17,650,880,513.80 and 12,589,344,008.60

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Solution

The fourth proportional to 12,589,344,008.60, 17,650,880,513.80 and 12,589,344,008.60 is: 17,650,880,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589,344,008.60 : 17,650,880,513.80 = 12,589,344,008.60 : x
  2. Step 2: Convert to fraction form
    12,589,344,008.60/17,650,880,513.80 = 12,589,344,008.60/x
  3. Step 3: Cross multiply
    12,589,344,008.60x = 17,650,880,513.80 × 12,589,344,008.60
  4. Step 4: Simplify right side
    12,589,344,008.60x = 222,213,006,842,922,532,864
  5. Step 5: Solve for x
    x = 222,213,006,842,922,532,864/12,589,344,008.60
  6. Step 6: Final answer
    x = 17,650,880,513.80

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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.