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Finding the Fourth Proportional to 14,346,466,327,342, 21,519,699,491,010 and 14,346,466,327,342

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Solution

The fourth proportional to 14,346,466,327,342, 21,519,699,491,010 and 14,346,466,327,342 is: 21,519,699,491,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346,466,327,342 : 21,519,699,491,010 = 14,346,466,327,342 : x
  2. Step 2: Convert to fraction form
    14,346,466,327,342/21,519,699,491,010 = 14,346,466,327,342/x
  3. Step 3: Cross multiply
    14,346,466,327,342x = 21,519,699,491,010 × 14,346,466,327,342
  4. Step 4: Simplify right side
    14,346,466,327,342x = 308,731,644,122,293,758,498,701,312
  5. Step 5: Solve for x
    x = 308,731,644,122,293,758,498,701,312/14,346,466,327,342
  6. Step 6: Final answer
    x = 21,519,699,491,010

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.