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Finding the Fourth Proportional to 478,389,635.70, 670,198,986.30 and 478,389,635.70

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Solution

The fourth proportional to 478,389,635.70, 670,198,986.30 and 478,389,635.70 is: 670,198,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,389,635.70 : 670,198,986.30 = 478,389,635.70 : x
  2. Step 2: Convert to fraction form
    478,389,635.70/670,198,986.30 = 478,389,635.70/x
  3. Step 3: Cross multiply
    478,389,635.70x = 670,198,986.30 × 478,389,635.70
  4. Step 4: Simplify right side
    478,389,635.70x = 320,616,248,902,566,272
  5. Step 5: Solve for x
    x = 320,616,248,902,566,272/478,389,635.70
  6. Step 6: Final answer
    x = 670,198,986.30

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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.