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Finding the Fourth Proportional to 412,992,002.30, 619,488,003.45 and 289,372,264.70

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Solution

The fourth proportional to 412,992,002.30, 619,488,003.45 and 289,372,264.70 is: 434,058,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992,002.30 : 619,488,003.45 = 289,372,264.70 : x
  2. Step 2: Convert to fraction form
    412,992,002.30/619,488,003.45 = 289,372,264.70/x
  3. Step 3: Cross multiply
    412,992,002.30x = 619,488,003.45 × 289,372,264.70
  4. Step 4: Simplify right side
    412,992,002.30x = 179,262,646,512,807,904
  5. Step 5: Solve for x
    x = 179,262,646,512,807,904/412,992,002.30
  6. Step 6: Final answer
    x = 434,058,397.05

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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.