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Finding the Fourth Proportional to 130,124,664,010.20, 195,186,996,015.30 and 130,124,664,010.20

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Solution

The fourth proportional to 130,124,664,010.20, 195,186,996,015.30 and 130,124,664,010.20 is: 195,186,996,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,124,664,010.20 : 195,186,996,015.30 = 130,124,664,010.20 : x
  2. Step 2: Convert to fraction form
    130,124,664,010.20/195,186,996,015.30 = 130,124,664,010.20/x
  3. Step 3: Cross multiply
    130,124,664,010.20x = 195,186,996,015.30 × 130,124,664,010.20
  4. Step 4: Simplify right side
    130,124,664,010.20x = 25,398,642,275,651,158,016,000
  5. Step 5: Solve for x
    x = 25,398,642,275,651,158,016,000/130,124,664,010.20
  6. Step 6: Final answer
    x = 195,186,996,015.30

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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.