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Finding the Fourth Proportional to 130,100,256,064.20, 194,783,052,077.10 and 130,100,256,064.20

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Solution

The fourth proportional to 130,100,256,064.20, 194,783,052,077.10 and 130,100,256,064.20 is: 194,783,052,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,100,256,064.20 : 194,783,052,077.10 = 130,100,256,064.20 : x
  2. Step 2: Convert to fraction form
    130,100,256,064.20/194,783,052,077.10 = 130,100,256,064.20/x
  3. Step 3: Cross multiply
    130,100,256,064.20x = 194,783,052,077.10 × 130,100,256,064.20
  4. Step 4: Simplify right side
    130,100,256,064.20x = 25,341,324,952,197,113,315,328
  5. Step 5: Solve for x
    x = 25,341,324,952,197,113,315,328/130,100,256,064.20
  6. Step 6: Final answer
    x = 194,783,052,077.10

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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.