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Finding the Fourth Proportional to 146,979,389,909.40, 220,469,084,864.10 and 146,979,389,909.40

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Solution

The fourth proportional to 146,979,389,909.40, 220,469,084,864.10 and 146,979,389,909.40 is: 220,469,084,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,979,389,909.40 : 220,469,084,864.10 = 146,979,389,909.40 : x
  2. Step 2: Convert to fraction form
    146,979,389,909.40/220,469,084,864.10 = 146,979,389,909.40/x
  3. Step 3: Cross multiply
    146,979,389,909.40x = 220,469,084,864.10 × 146,979,389,909.40
  4. Step 4: Simplify right side
    146,979,389,909.40x = 32,404,411,587,209,149,284,352
  5. Step 5: Solve for x
    x = 32,404,411,587,209,149,284,352/146,979,389,909.40
  6. Step 6: Final answer
    x = 220,469,084,864.10

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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.