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Finding the Fourth Proportional to 11,326,144,403,401, 16,989,216,605,102 and 11,326,144,403,401

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Solution

The fourth proportional to 11,326,144,403,401, 16,989,216,605,102 and 11,326,144,403,401 is: 16,989,216,605,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326,144,403,401 : 16,989,216,605,102 = 11,326,144,403,401 : x
  2. Step 2: Convert to fraction form
    11,326,144,403,401/16,989,216,605,102 = 11,326,144,403,401/x
  3. Step 3: Cross multiply
    11,326,144,403,401x = 16,989,216,605,102 × 11,326,144,403,401
  4. Step 4: Simplify right side
    11,326,144,403,401x = 192,422,320,570,043,354,025,295,872
  5. Step 5: Solve for x
    x = 192,422,320,570,043,354,025,295,872/11,326,144,403,401
  6. Step 6: Final answer
    x = 16,989,216,605,102

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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.