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Finding the Fourth Proportional to 510,646,664.40, 765,969,996.60 and 304,022,403.60

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Solution

The fourth proportional to 510,646,664.40, 765,969,996.60 and 304,022,403.60 is: 456,033,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,646,664.40 : 765,969,996.60 = 304,022,403.60 : x
  2. Step 2: Convert to fraction form
    510,646,664.40/765,969,996.60 = 304,022,403.60/x
  3. Step 3: Cross multiply
    510,646,664.40x = 765,969,996.60 × 304,022,403.60
  4. Step 4: Simplify right side
    510,646,664.40x = 232,872,039,451,815,840
  5. Step 5: Solve for x
    x = 232,872,039,451,815,840/510,646,664.40
  6. Step 6: Final answer
    x = 456,033,605.40

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Why These Related Problems?

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