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Finding the Fourth Proportional to 430,171,433,999.10, 645,257,150,998.65 and 430,171,433,999.10

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Solution

The fourth proportional to 430,171,433,999.10, 645,257,150,998.65 and 430,171,433,999.10 is: 645,257,150,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,171,433,999.10 : 645,257,150,998.65 = 430,171,433,999.10 : x
  2. Step 2: Convert to fraction form
    430,171,433,999.10/645,257,150,998.65 = 430,171,433,999.10/x
  3. Step 3: Cross multiply
    430,171,433,999.10x = 645,257,150,998.65 × 430,171,433,999.10
  4. Step 4: Simplify right side
    430,171,433,999.10x = 277,571,193,943,263,052,562,432
  5. Step 5: Solve for x
    x = 277,571,193,943,263,052,562,432/430,171,433,999.10
  6. Step 6: Final answer
    x = 645,257,150,998.65

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