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Finding the Fourth Proportional to 478,389,612.70, 670,198,954.10 and 478,389,612.70

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Solution

The fourth proportional to 478,389,612.70, 670,198,954.10 and 478,389,612.70 is: 670,198,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,389,612.70 : 670,198,954.10 = 478,389,612.70 : x
  2. Step 2: Convert to fraction form
    478,389,612.70/670,198,954.10 = 478,389,612.70/x
  3. Step 3: Cross multiply
    478,389,612.70x = 670,198,954.10 × 478,389,612.70
  4. Step 4: Simplify right side
    478,389,612.70x = 320,616,218,083,844,096
  5. Step 5: Solve for x
    x = 320,616,218,083,844,096/478,389,612.70
  6. Step 6: Final answer
    x = 670,198,954.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.