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Finding the Fourth Proportional to 16,989,129,215,999, 25,483,693,824,000 and 16,989,129,215,999

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Solution

The fourth proportional to 16,989,129,215,999, 25,483,693,824,000 and 16,989,129,215,999 is: 25,483,693,824,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989,129,215,999 : 25,483,693,824,000 = 16,989,129,215,999 : x
  2. Step 2: Convert to fraction form
    16,989,129,215,999/25,483,693,824,000 = 16,989,129,215,999/x
  3. Step 3: Cross multiply
    16,989,129,215,999x = 25,483,693,824,000 × 16,989,129,215,999
  4. Step 4: Simplify right side
    16,989,129,215,999x = 432,945,767,276,891,675,354,464,256
  5. Step 5: Solve for x
    x = 432,945,767,276,891,675,354,464,256/16,989,129,215,999
  6. Step 6: Final answer
    x = 25,483,693,824,000

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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.