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Finding the Fourth Proportional to 768,015,356.24, 1,059,864,000.36 and 415,591,350.32

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Solution

The fourth proportional to 768,015,356.24, 1,059,864,000.36 and 415,591,350.32 is: 573,517,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,015,356.24 : 1,059,864,000.36 = 415,591,350.32 : x
  2. Step 2: Convert to fraction form
    768,015,356.24/1,059,864,000.36 = 415,591,350.32/x
  3. Step 3: Cross multiply
    768,015,356.24x = 1,059,864,000.36 × 415,591,350.32
  4. Step 4: Simplify right side
    768,015,356.24x = 440,470,311,065,169,344
  5. Step 5: Solve for x
    x = 440,470,311,065,169,344/768,015,356.24
  6. Step 6: Final answer
    x = 573,517,583.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.