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Finding the Fourth Proportional to 133,057,647.60, 199,586,471.40 and 133,057,647.60

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Solution

The fourth proportional to 133,057,647.60, 199,586,471.40 and 133,057,647.60 is: 199,586,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057,647.60 : 199,586,471.40 = 133,057,647.60 : x
  2. Step 2: Convert to fraction form
    133,057,647.60/199,586,471.40 = 133,057,647.60/x
  3. Step 3: Cross multiply
    133,057,647.60x = 199,586,471.40 × 133,057,647.60
  4. Step 4: Simplify right side
    133,057,647.60x = 26,556,506,377,268,680
  5. Step 5: Solve for x
    x = 26,556,506,377,268,680/133,057,647.60
  6. Step 6: Final answer
    x = 199,586,471.40

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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.