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Finding the Fourth Proportional to 510,646,586.40, 765,969,879.60 and 304,022,325.60

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Solution

The fourth proportional to 510,646,586.40, 765,969,879.60 and 304,022,325.60 is: 456,033,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,646,586.40 : 765,969,879.60 = 304,022,325.60 : x
  2. Step 2: Convert to fraction form
    510,646,586.40/765,969,879.60 = 304,022,325.60/x
  3. Step 3: Cross multiply
    510,646,586.40x = 765,969,879.60 × 304,022,325.60
  4. Step 4: Simplify right side
    510,646,586.40x = 232,871,944,135,544,032
  5. Step 5: Solve for x
    x = 232,871,944,135,544,032/510,646,586.40
  6. Step 6: Final answer
    x = 456,033,488.40

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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.