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Finding the Fourth Proportional to 465,431,084,888.70, 698,146,627,333.05 and 465,431,084,888.70

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Solution

The fourth proportional to 465,431,084,888.70, 698,146,627,333.05 and 465,431,084,888.70 is: 698,146,627,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,431,084,888.70 : 698,146,627,333.05 = 465,431,084,888.70 : x
  2. Step 2: Convert to fraction form
    465,431,084,888.70/698,146,627,333.05 = 465,431,084,888.70/x
  3. Step 3: Cross multiply
    465,431,084,888.70x = 698,146,627,333.05 × 465,431,084,888.70
  4. Step 4: Simplify right side
    465,431,084,888.70x = 324,939,142,171,008,411,107,328
  5. Step 5: Solve for x
    x = 324,939,142,171,008,411,107,328/465,431,084,888.70
  6. Step 6: Final answer
    x = 698,146,627,333.05

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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.