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Finding the Fourth Proportional to 147,485,087.80, 206,096,485.40 and 147,485,087.80

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Solution

The fourth proportional to 147,485,087.80, 206,096,485.40 and 147,485,087.80 is: 206,096,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,485,087.80 : 206,096,485.40 = 147,485,087.80 : x
  2. Step 2: Convert to fraction form
    147,485,087.80/206,096,485.40 = 147,485,087.80/x
  3. Step 3: Cross multiply
    147,485,087.80x = 206,096,485.40 × 147,485,087.80
  4. Step 4: Simplify right side
    147,485,087.80x = 30,396,158,244,490,420
  5. Step 5: Solve for x
    x = 30,396,158,244,490,420/147,485,087.80
  6. Step 6: Final answer
    x = 206,096,485.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.