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Finding the Fourth Proportional to 472,393,340.55, 708,590,010.83 and 472,393,340.55

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Solution

The fourth proportional to 472,393,340.55, 708,590,010.83 and 472,393,340.55 is: 708,590,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,340.55 : 708,590,010.83 = 472,393,340.55 : x
  2. Step 2: Convert to fraction form
    472,393,340.55/708,590,010.83 = 472,393,340.55/x
  3. Step 3: Cross multiply
    472,393,340.55x = 708,590,010.83 × 472,393,340.55
  4. Step 4: Simplify right side
    472,393,340.55x = 334,733,202,293,982,464
  5. Step 5: Solve for x
    x = 334,733,202,293,982,464/472,393,340.55
  6. Step 6: Final answer
    x = 708,590,010.83

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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.