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Finding the Fourth Proportional to 538,002,003.10, 807,003,004.65 and 538,002,003.10

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Solution

The fourth proportional to 538,002,003.10, 807,003,004.65 and 538,002,003.10 is: 807,003,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,002,003.10 : 807,003,004.65 = 538,002,003.10 : x
  2. Step 2: Convert to fraction form
    538,002,003.10/807,003,004.65 = 538,002,003.10/x
  3. Step 3: Cross multiply
    538,002,003.10x = 807,003,004.65 × 538,002,003.10
  4. Step 4: Simplify right side
    538,002,003.10x = 434,169,233,009,418,624
  5. Step 5: Solve for x
    x = 434,169,233,009,418,624/538,002,003.10
  6. Step 6: Final answer
    x = 807,003,004.65

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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.