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Finding the Fourth Proportional to 505,498,434.86, 758,247,652.30 and 505,498,434.86

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Solution

The fourth proportional to 505,498,434.86, 758,247,652.30 and 505,498,434.86 is: 758,247,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,498,434.86 : 758,247,652.30 = 505,498,434.86 : x
  2. Step 2: Convert to fraction form
    505,498,434.86/758,247,652.30 = 505,498,434.86/x
  3. Step 3: Cross multiply
    505,498,434.86x = 758,247,652.30 × 505,498,434.86
  4. Step 4: Simplify right side
    505,498,434.86x = 383,293,001,474,551,360
  5. Step 5: Solve for x
    x = 383,293,001,474,551,360/505,498,434.86
  6. Step 6: Final answer
    x = 758,247,652.30

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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.