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Finding the Fourth Proportional to 130,380,193,500.15, 195,570,290,250.22 and 130,380,193,500.15

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Solution

The fourth proportional to 130,380,193,500.15, 195,570,290,250.22 and 130,380,193,500.15 is: 195,570,290,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,380,193,500.15 : 195,570,290,250.22 = 130,380,193,500.15 : x
  2. Step 2: Convert to fraction form
    130,380,193,500.15/195,570,290,250.22 = 130,380,193,500.15/x
  3. Step 3: Cross multiply
    130,380,193,500.15x = 195,570,290,250.22 × 130,380,193,500.15
  4. Step 4: Simplify right side
    130,380,193,500.15x = 25,498,492,285,704,183,218,176
  5. Step 5: Solve for x
    x = 25,498,492,285,704,183,218,176/130,380,193,500.15
  6. Step 6: Final answer
    x = 195,570,290,250.22

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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.