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Finding the Fourth Proportional to 130,382,016,064.20, 195,573,024,096.30 and 130,382,016,064.20

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Solution

The fourth proportional to 130,382,016,064.20, 195,573,024,096.30 and 130,382,016,064.20 is: 195,573,024,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,382,016,064.20 : 195,573,024,096.30 = 130,382,016,064.20 : x
  2. Step 2: Convert to fraction form
    130,382,016,064.20/195,573,024,096.30 = 130,382,016,064.20/x
  3. Step 3: Cross multiply
    130,382,016,064.20x = 195,573,024,096.30 × 130,382,016,064.20
  4. Step 4: Simplify right side
    130,382,016,064.20x = 25,499,205,169,447,956,381,696
  5. Step 5: Solve for x
    x = 25,499,205,169,447,956,381,696/130,382,016,064.20
  6. Step 6: Final answer
    x = 195,573,024,096.30

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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.