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Finding the Fourth Proportional to 1,080,474,373.06, 1,490,939,843.84 and 597,589,589.90

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Solution

The fourth proportional to 1,080,474,373.06, 1,490,939,843.84 and 597,589,589.90 is: 824,610,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,474,373.06 : 1,490,939,843.84 = 597,589,589.90 : x
  2. Step 2: Convert to fraction form
    1,080,474,373.06/1,490,939,843.84 = 597,589,589.90/x
  3. Step 3: Cross multiply
    1,080,474,373.06x = 1,490,939,843.84 × 597,589,589.90
  4. Step 4: Simplify right side
    1,080,474,373.06x = 890,970,129,845,915,520
  5. Step 5: Solve for x
    x = 890,970,129,845,915,520/1,080,474,373.06
  6. Step 6: Final answer
    x = 824,610,145.38

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Why These Related Problems?

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