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Finding the Fourth Proportional to 14,327,260,992,031, 21,490,891,488,045 and 14,327,260,992,031

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Solution

The fourth proportional to 14,327,260,992,031, 21,490,891,488,045 and 14,327,260,992,031 is: 21,490,891,488,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327,260,992,031 : 21,490,891,488,045 = 14,327,260,992,031 : x
  2. Step 2: Convert to fraction form
    14,327,260,992,031/21,490,891,488,045 = 14,327,260,992,031/x
  3. Step 3: Cross multiply
    14,327,260,992,031x = 21,490,891,488,045 × 14,327,260,992,031
  4. Step 4: Simplify right side
    14,327,260,992,031x = 307,905,611,300,638,190,483,800,064
  5. Step 5: Solve for x
    x = 307,905,611,300,638,190,483,800,064/14,327,260,992,031
  6. Step 6: Final answer
    x = 21,490,891,488,045

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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.