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Finding the Fourth Proportional to 3,061,010,304,313, 4,591,515,456,469.50 and 3,061,010,304,313

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Solution

The fourth proportional to 3,061,010,304,313, 4,591,515,456,469.50 and 3,061,010,304,313 is: 4,591,515,456,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,010,304,313 : 4,591,515,456,469.50 = 3,061,010,304,313 : x
  2. Step 2: Convert to fraction form
    3,061,010,304,313/4,591,515,456,469.50 = 3,061,010,304,313/x
  3. Step 3: Cross multiply
    3,061,010,304,313x = 4,591,515,456,469.50 × 3,061,010,304,313
  4. Step 4: Simplify right side
    3,061,010,304,313x = 14,054,676,124,665,547,730,190,336
  5. Step 5: Solve for x
    x = 14,054,676,124,665,547,730,190,336/3,061,010,304,313
  6. Step 6: Final answer
    x = 4,591,515,456,469.50

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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.