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Finding the Fourth Proportional to 130,380,193,850.40, 195,570,290,775.60 and 130,380,193,850.40

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Solution

The fourth proportional to 130,380,193,850.40, 195,570,290,775.60 and 130,380,193,850.40 is: 195,570,290,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,380,193,850.40 : 195,570,290,775.60 = 130,380,193,850.40 : x
  2. Step 2: Convert to fraction form
    130,380,193,850.40/195,570,290,775.60 = 130,380,193,850.40/x
  3. Step 3: Cross multiply
    130,380,193,850.40x = 195,570,290,775.60 × 130,380,193,850.40
  4. Step 4: Simplify right side
    130,380,193,850.40x = 25,498,492,422,701,824,606,208
  5. Step 5: Solve for x
    x = 25,498,492,422,701,824,606,208/130,380,193,850.40
  6. Step 6: Final answer
    x = 195,570,290,775.60

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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.