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Finding the Fourth Proportional to 3,398,283,072,233.50, 5,097,424,608,351 and 3,398,283,072,233.50

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Solution

The fourth proportional to 3,398,283,072,233.50, 5,097,424,608,351 and 3,398,283,072,233.50 is: 5,097,424,608,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398,283,072,233.50 : 5,097,424,608,351 = 3,398,283,072,233.50 : x
  2. Step 2: Convert to fraction form
    3,398,283,072,233.50/5,097,424,608,351 = 3,398,283,072,233.50/x
  3. Step 3: Cross multiply
    3,398,283,072,233.50x = 5,097,424,608,351 × 3,398,283,072,233.50
  4. Step 4: Simplify right side
    3,398,283,072,233.50x = 17,322,491,758,545,681,386,569,728
  5. Step 5: Solve for x
    x = 17,322,491,758,545,681,386,569,728/3,398,283,072,233.50
  6. Step 6: Final answer
    x = 5,097,424,608,351

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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.