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Finding the Fourth Proportional to 16,051,644,207,002, 24,077,466,310,503 and 16,051,644,207,002

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Solution

The fourth proportional to 16,051,644,207,002, 24,077,466,310,503 and 16,051,644,207,002 is: 24,077,466,310,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051,644,207,002 : 24,077,466,310,503 = 16,051,644,207,002 : x
  2. Step 2: Convert to fraction form
    16,051,644,207,002/24,077,466,310,503 = 16,051,644,207,002/x
  3. Step 3: Cross multiply
    16,051,644,207,002x = 24,077,466,310,503 × 16,051,644,207,002
  4. Step 4: Simplify right side
    16,051,644,207,002x = 386,482,922,622,271,273,830,449,152
  5. Step 5: Solve for x
    x = 386,482,922,622,271,273,830,449,152/16,051,644,207,002
  6. Step 6: Final answer
    x = 24,077,466,310,503

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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.