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Finding the Fourth Proportional to 14,327,260,992,023, 21,490,891,488,034 and 14,327,260,992,023

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Solution

The fourth proportional to 14,327,260,992,023, 21,490,891,488,034 and 14,327,260,992,023 is: 21,490,891,488,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327,260,992,023 : 21,490,891,488,034 = 14,327,260,992,023 : x
  2. Step 2: Convert to fraction form
    14,327,260,992,023/21,490,891,488,034 = 14,327,260,992,023/x
  3. Step 3: Cross multiply
    14,327,260,992,023x = 21,490,891,488,034 × 14,327,260,992,023
  4. Step 4: Simplify right side
    14,327,260,992,023x = 307,905,611,300,308,646,233,112,576
  5. Step 5: Solve for x
    x = 307,905,611,300,308,646,233,112,576/14,327,260,992,023
  6. Step 6: Final answer
    x = 21,490,891,488,034

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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.