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Finding the Fourth Proportional to 344,397,744,000.20, 516,596,616,000.30 and 344,397,744,000.20

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Solution

The fourth proportional to 344,397,744,000.20, 516,596,616,000.30 and 344,397,744,000.20 is: 516,596,616,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,397,744,000.20 : 516,596,616,000.30 = 344,397,744,000.20 : x
  2. Step 2: Convert to fraction form
    344,397,744,000.20/516,596,616,000.30 = 344,397,744,000.20/x
  3. Step 3: Cross multiply
    344,397,744,000.20x = 516,596,616,000.30 × 344,397,744,000.20
  4. Step 4: Simplify right side
    344,397,744,000.20x = 177,914,709,108,640,939,245,568
  5. Step 5: Solve for x
    x = 177,914,709,108,640,939,245,568/344,397,744,000.20
  6. Step 6: Final answer
    x = 516,596,616,000.30

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1.5x scale

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.