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Finding the Fourth Proportional to 14,327,260,992,021, 21,490,891,488,033 and 14,327,260,992,021

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Solution

The fourth proportional to 14,327,260,992,021, 21,490,891,488,033 and 14,327,260,992,021 is: 21,490,891,488,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327,260,992,021 : 21,490,891,488,033 = 14,327,260,992,021 : x
  2. Step 2: Convert to fraction form
    14,327,260,992,021/21,490,891,488,033 = 14,327,260,992,021/x
  3. Step 3: Cross multiply
    14,327,260,992,021x = 21,490,891,488,033 × 14,327,260,992,021
  4. Step 4: Simplify right side
    14,327,260,992,021x = 307,905,611,300,251,334,189,514,752
  5. Step 5: Solve for x
    x = 307,905,611,300,251,334,189,514,752/14,327,260,992,021
  6. Step 6: Final answer
    x = 21,490,891,488,033

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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.