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Finding the Fourth Proportional to 3,586,616,577,073.50, 5,379,924,865,610.50 and 3,586,616,577,073.50

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Solution

The fourth proportional to 3,586,616,577,073.50, 5,379,924,865,610.50 and 3,586,616,577,073.50 is: 5,379,924,865,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586,616,577,073.50 : 5,379,924,865,610.50 = 3,586,616,577,073.50 : x
  2. Step 2: Convert to fraction form
    3,586,616,577,073.50/5,379,924,865,610.50 = 3,586,616,577,073.50/x
  3. Step 3: Cross multiply
    3,586,616,577,073.50x = 5,379,924,865,610.50 × 3,586,616,577,073.50
  4. Step 4: Simplify right side
    3,586,616,577,073.50x = 19,295,727,706,408,540,413,362,176
  5. Step 5: Solve for x
    x = 19,295,727,706,408,540,413,362,176/3,586,616,577,073.50
  6. Step 6: Final answer
    x = 5,379,924,865,610.50

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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.