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Finding the Fourth Proportional to 445,558,442,728.40, 668,337,664,092.60 and 445,558,442,728.40

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Solution

The fourth proportional to 445,558,442,728.40, 668,337,664,092.60 and 445,558,442,728.40 is: 668,337,664,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,558,442,728.40 : 668,337,664,092.60 = 445,558,442,728.40 : x
  2. Step 2: Convert to fraction form
    445,558,442,728.40/668,337,664,092.60 = 445,558,442,728.40/x
  3. Step 3: Cross multiply
    445,558,442,728.40x = 668,337,664,092.60 × 445,558,442,728.40
  4. Step 4: Simplify right side
    445,558,442,728.40x = 297,783,488,829,835,347,755,008
  5. Step 5: Solve for x
    x = 297,783,488,829,835,347,755,008/445,558,442,728.40
  6. Step 6: Final answer
    x = 668,337,664,092.60

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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.