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Finding the Fourth Proportional to 505,498,431.37, 758,247,647.05 and 505,498,431.37

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Solution

The fourth proportional to 505,498,431.37, 758,247,647.05 and 505,498,431.37 is: 758,247,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,498,431.37 : 758,247,647.05 = 505,498,431.37 : x
  2. Step 2: Convert to fraction form
    505,498,431.37/758,247,647.05 = 505,498,431.37/x
  3. Step 3: Cross multiply
    505,498,431.37x = 758,247,647.05 × 505,498,431.37
  4. Step 4: Simplify right side
    505,498,431.37x = 383,292,996,169,977,152
  5. Step 5: Solve for x
    x = 383,292,996,169,977,152/505,498,431.37
  6. Step 6: Final answer
    x = 758,247,647.05

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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.