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Finding the Fourth Proportional to 287,214,339,872.40, 430,821,509,808.60 and 287,214,339,872.40

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Solution

The fourth proportional to 287,214,339,872.40, 430,821,509,808.60 and 287,214,339,872.40 is: 430,821,509,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214,339,872.40 : 430,821,509,808.60 = 287,214,339,872.40 : x
  2. Step 2: Convert to fraction form
    287,214,339,872.40/430,821,509,808.60 = 287,214,339,872.40/x
  3. Step 3: Cross multiply
    287,214,339,872.40x = 430,821,509,808.60 × 287,214,339,872.40
  4. Step 4: Simplify right side
    287,214,339,872.40x = 123,738,115,542,507,749,113,856
  5. Step 5: Solve for x
    x = 123,738,115,542,507,749,113,856/287,214,339,872.40
  6. Step 6: Final answer
    x = 430,821,509,808.60

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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.