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Finding the Fourth Proportional to 10,697,038,848,265, 16,045,558,272,398 and 10,697,038,848,265

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Solution

The fourth proportional to 10,697,038,848,265, 16,045,558,272,398 and 10,697,038,848,265 is: 16,045,558,272,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697,038,848,265 : 16,045,558,272,398 = 10,697,038,848,265 : x
  2. Step 2: Convert to fraction form
    10,697,038,848,265/16,045,558,272,398 = 10,697,038,848,265/x
  3. Step 3: Cross multiply
    10,697,038,848,265x = 16,045,558,272,398 × 10,697,038,848,265
  4. Step 4: Simplify right side
    10,697,038,848,265x = 171,639,960,181,941,253,026,349,056
  5. Step 5: Solve for x
    x = 171,639,960,181,941,253,026,349,056/10,697,038,848,265
  6. Step 6: Final answer
    x = 16,045,558,272,398

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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.