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Finding the Fourth Proportional to 130,416,057,908.20, 195,624,086,862.30 and 130,416,057,908.20

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Solution

The fourth proportional to 130,416,057,908.20, 195,624,086,862.30 and 130,416,057,908.20 is: 195,624,086,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,416,057,908.20 : 195,624,086,862.30 = 130,416,057,908.20 : x
  2. Step 2: Convert to fraction form
    130,416,057,908.20/195,624,086,862.30 = 130,416,057,908.20/x
  3. Step 3: Cross multiply
    130,416,057,908.20x = 195,624,086,862.30 × 130,416,057,908.20
  4. Step 4: Simplify right side
    130,416,057,908.20x = 25,512,522,240,472,461,082,624
  5. Step 5: Solve for x
    x = 25,512,522,240,472,461,082,624/130,416,057,908.20
  6. Step 6: Final answer
    x = 195,624,086,862.30

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1.5x scale

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.