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Finding the Fourth Proportional to 214,529,472,029.60, 321,794,208,044.40 and 214,529,472,029.60

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Solution

The fourth proportional to 214,529,472,029.60, 321,794,208,044.40 and 214,529,472,029.60 is: 321,794,208,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,529,472,029.60 : 321,794,208,044.40 = 214,529,472,029.60 : x
  2. Step 2: Convert to fraction form
    214,529,472,029.60/321,794,208,044.40 = 214,529,472,029.60/x
  3. Step 3: Cross multiply
    214,529,472,029.60x = 321,794,208,044.40 × 214,529,472,029.60
  4. Step 4: Simplify right side
    214,529,472,029.60x = 69,034,341,553,948,401,336,320
  5. Step 5: Solve for x
    x = 69,034,341,553,948,401,336,320/214,529,472,029.60
  6. Step 6: Final answer
    x = 321,794,208,044.40

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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.