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Finding the Fourth Proportional to 104,816,129,614.80, 157,224,194,422.20 and 104,816,129,614.80

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Solution

The fourth proportional to 104,816,129,614.80, 157,224,194,422.20 and 104,816,129,614.80 is: 157,224,194,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,816,129,614.80 : 157,224,194,422.20 = 104,816,129,614.80 : x
  2. Step 2: Convert to fraction form
    104,816,129,614.80/157,224,194,422.20 = 104,816,129,614.80/x
  3. Step 3: Cross multiply
    104,816,129,614.80x = 157,224,194,422.20 × 104,816,129,614.80
  4. Step 4: Simplify right side
    104,816,129,614.80x = 16,479,631,541,139,832,569,856
  5. Step 5: Solve for x
    x = 16,479,631,541,139,832,569,856/104,816,129,614.80
  6. Step 6: Final answer
    x = 157,224,194,422.20

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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.