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Finding the Fourth Proportional to 472,600,758.45, 708,901,137.68 and 472,600,758.45

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Solution

The fourth proportional to 472,600,758.45, 708,901,137.68 and 472,600,758.45 is: 708,901,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,600,758.45 : 708,901,137.68 = 472,600,758.45 : x
  2. Step 2: Convert to fraction form
    472,600,758.45/708,901,137.68 = 472,600,758.45/x
  3. Step 3: Cross multiply
    472,600,758.45x = 708,901,137.68 × 472,600,758.45
  4. Step 4: Simplify right side
    472,600,758.45x = 335,027,215,331,272,832
  5. Step 5: Solve for x
    x = 335,027,215,331,272,832/472,600,758.45
  6. Step 6: Final answer
    x = 708,901,137.68

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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.