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Finding the Fourth Proportional to 590,976,633.80, 886,464,950.70 and 547,978,464.20

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Solution

The fourth proportional to 590,976,633.80, 886,464,950.70 and 547,978,464.20 is: 821,967,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976,633.80 : 886,464,950.70 = 547,978,464.20 : x
  2. Step 2: Convert to fraction form
    590,976,633.80/886,464,950.70 = 547,978,464.20/x
  3. Step 3: Cross multiply
    590,976,633.80x = 886,464,950.70 × 547,978,464.20
  4. Step 4: Simplify right side
    590,976,633.80x = 485,763,702,251,714,752
  5. Step 5: Solve for x
    x = 485,763,702,251,714,752/590,976,633.80
  6. Step 6: Final answer
    x = 821,967,696.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.