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Finding the Fourth Proportional to 14,614,235,136,436, 21,921,352,704,656 and 14,614,235,136,436

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Solution

The fourth proportional to 14,614,235,136,436, 21,921,352,704,656 and 14,614,235,136,436 is: 21,921,352,704,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614,235,136,436 : 21,921,352,704,656 = 14,614,235,136,436 : x
  2. Step 2: Convert to fraction form
    14,614,235,136,436/21,921,352,704,656 = 14,614,235,136,436/x
  3. Step 3: Cross multiply
    14,614,235,136,436x = 21,921,352,704,656 × 14,614,235,136,436
  4. Step 4: Simplify right side
    14,614,235,136,436x = 320,363,802,934,590,044,748,382,208
  5. Step 5: Solve for x
    x = 320,363,802,934,590,044,748,382,208/14,614,235,136,436
  6. Step 6: Final answer
    x = 21,921,352,704,656

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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.