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Finding the Fourth Proportional to 399,404,002.40, 599,106,003.60 and 384,098,501.60

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Solution

The fourth proportional to 399,404,002.40, 599,106,003.60 and 384,098,501.60 is: 576,147,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,404,002.40 : 599,106,003.60 = 384,098,501.60 : x
  2. Step 2: Convert to fraction form
    399,404,002.40/599,106,003.60 = 384,098,501.60/x
  3. Step 3: Cross multiply
    399,404,002.40x = 599,106,003.60 × 384,098,501.60
  4. Step 4: Simplify right side
    399,404,002.40x = 230,115,718,282,324,224
  5. Step 5: Solve for x
    x = 230,115,718,282,324,224/399,404,002.40
  6. Step 6: Final answer
    x = 576,147,752.40

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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.