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Finding the Fourth Proportional to 130,382,016,090.70, 195,573,024,136.05 and 130,382,016,090.70

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Solution

The fourth proportional to 130,382,016,090.70, 195,573,024,136.05 and 130,382,016,090.70 is: 195,573,024,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,382,016,090.70 : 195,573,024,136.05 = 130,382,016,090.70 : x
  2. Step 2: Convert to fraction form
    130,382,016,090.70/195,573,024,136.05 = 130,382,016,090.70/x
  3. Step 3: Cross multiply
    130,382,016,090.70x = 195,573,024,136.05 × 130,382,016,090.70
  4. Step 4: Simplify right side
    130,382,016,090.70x = 25,499,205,179,813,327,273,984
  5. Step 5: Solve for x
    x = 25,499,205,179,813,327,273,984/130,382,016,090.70
  6. Step 6: Final answer
    x = 195,573,024,136.05

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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.