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Finding the Fourth Proportional to 510,198,231.60, 715,638,013.20 and 510,198,231.60

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Solution

The fourth proportional to 510,198,231.60, 715,638,013.20 and 510,198,231.60 is: 715,638,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,198,231.60 : 715,638,013.20 = 510,198,231.60 : x
  2. Step 2: Convert to fraction form
    510,198,231.60/715,638,013.20 = 510,198,231.60/x
  3. Step 3: Cross multiply
    510,198,231.60x = 715,638,013.20 × 510,198,231.60
  4. Step 4: Simplify right side
    510,198,231.60x = 365,117,248,800,377,472
  5. Step 5: Solve for x
    x = 365,117,248,800,377,472/510,198,231.60
  6. Step 6: Final answer
    x = 715,638,013.20

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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.