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Finding the Fourth Proportional to 214,529,472,032.60, 321,794,208,048.90 and 214,529,472,032.60

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Solution

The fourth proportional to 214,529,472,032.60, 321,794,208,048.90 and 214,529,472,032.60 is: 321,794,208,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,529,472,032.60 : 321,794,208,048.90 = 214,529,472,032.60 : x
  2. Step 2: Convert to fraction form
    214,529,472,032.60/321,794,208,048.90 = 214,529,472,032.60/x
  3. Step 3: Cross multiply
    214,529,472,032.60x = 321,794,208,048.90 × 214,529,472,032.60
  4. Step 4: Simplify right side
    214,529,472,032.60x = 69,034,341,555,879,165,296,640
  5. Step 5: Solve for x
    x = 69,034,341,555,879,165,296,640/214,529,472,032.60
  6. Step 6: Final answer
    x = 321,794,208,048.90

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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.