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Finding the Fourth Proportional to 472,393,889.70, 708,590,834.55 and 472,393,889.70

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Solution

The fourth proportional to 472,393,889.70, 708,590,834.55 and 472,393,889.70 is: 708,590,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,889.70 : 708,590,834.55 = 472,393,889.70 : x
  2. Step 2: Convert to fraction form
    472,393,889.70/708,590,834.55 = 472,393,889.70/x
  3. Step 3: Cross multiply
    472,393,889.70x = 708,590,834.55 × 472,393,889.70
  4. Step 4: Simplify right side
    472,393,889.70x = 334,733,980,538,843,648
  5. Step 5: Solve for x
    x = 334,733,980,538,843,648/472,393,889.70
  6. Step 6: Final answer
    x = 708,590,834.55

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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.