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Finding the Fourth Proportional to 510,198,422.10, 715,638,279.90 and 510,198,422.10

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Solution

The fourth proportional to 510,198,422.10, 715,638,279.90 and 510,198,422.10 is: 715,638,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,198,422.10 : 715,638,279.90 = 510,198,422.10 : x
  2. Step 2: Convert to fraction form
    510,198,422.10/715,638,279.90 = 510,198,422.10/x
  3. Step 3: Cross multiply
    510,198,422.10x = 715,638,279.90 × 510,198,422.10
  4. Step 4: Simplify right side
    510,198,422.10x = 365,117,521,199,338,176
  5. Step 5: Solve for x
    x = 365,117,521,199,338,176/510,198,422.10
  6. Step 6: Final answer
    x = 715,638,279.90

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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.