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Finding the Fourth Proportional to 287,214,337,029.60, 430,821,505,544.40 and 287,214,337,029.60

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Solution

The fourth proportional to 287,214,337,029.60, 430,821,505,544.40 and 287,214,337,029.60 is: 430,821,505,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214,337,029.60 : 430,821,505,544.40 = 287,214,337,029.60 : x
  2. Step 2: Convert to fraction form
    287,214,337,029.60/430,821,505,544.40 = 287,214,337,029.60/x
  3. Step 3: Cross multiply
    287,214,337,029.60x = 430,821,505,544.40 × 287,214,337,029.60
  4. Step 4: Simplify right side
    287,214,337,029.60x = 123,738,113,093,028,978,622,464
  5. Step 5: Solve for x
    x = 123,738,113,093,028,978,622,464/287,214,337,029.60
  6. Step 6: Final answer
    x = 430,821,505,544.40

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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.