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Finding the Fourth Proportional to 472,392,783.90, 708,589,175.85 and 472,392,783.90

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Solution

The fourth proportional to 472,392,783.90, 708,589,175.85 and 472,392,783.90 is: 708,589,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,783.90 : 708,589,175.85 = 472,392,783.90 : x
  2. Step 2: Convert to fraction form
    472,392,783.90/708,589,175.85 = 472,392,783.90/x
  3. Step 3: Cross multiply
    472,392,783.90x = 708,589,175.85 × 472,392,783.90
  4. Step 4: Simplify right side
    472,392,783.90x = 334,732,413,421,188,160
  5. Step 5: Solve for x
    x = 334,732,413,421,188,160/472,392,783.90
  6. Step 6: Final answer
    x = 708,589,175.85

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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.