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Finding the Fourth Proportional to 16,051,658,544,069, 24,077,487,816,102 and 16,051,658,544,069

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Solution

The fourth proportional to 16,051,658,544,069, 24,077,487,816,102 and 16,051,658,544,069 is: 24,077,487,816,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051,658,544,069 : 24,077,487,816,102 = 16,051,658,544,069 : x
  2. Step 2: Convert to fraction form
    16,051,658,544,069/24,077,487,816,102 = 16,051,658,544,069/x
  3. Step 3: Cross multiply
    16,051,658,544,069x = 24,077,487,816,102 × 16,051,658,544,069
  4. Step 4: Simplify right side
    16,051,658,544,069x = 386,483,613,023,050,919,351,156,736
  5. Step 5: Solve for x
    x = 386,483,613,023,050,919,351,156,736/16,051,658,544,069
  6. Step 6: Final answer
    x = 24,077,487,816,102

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