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Finding the Fourth Proportional to 510,336,002.40, 765,504,003.60 and 510,336,002.40

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Solution

The fourth proportional to 510,336,002.40, 765,504,003.60 and 510,336,002.40 is: 765,504,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,336,002.40 : 765,504,003.60 = 510,336,002.40 : x
  2. Step 2: Convert to fraction form
    510,336,002.40/765,504,003.60 = 510,336,002.40/x
  3. Step 3: Cross multiply
    510,336,002.40x = 765,504,003.60 × 510,336,002.40
  4. Step 4: Simplify right side
    510,336,002.40x = 390,664,253,018,419,200
  5. Step 5: Solve for x
    x = 390,664,253,018,419,200/510,336,002.40
  6. Step 6: Final answer
    x = 765,504,003.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.