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Finding the Fourth Proportional to 472,392,003.80, 708,588,005.70 and 334,642,496.60

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Solution

The fourth proportional to 472,392,003.80, 708,588,005.70 and 334,642,496.60 is: 501,963,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,003.80 : 708,588,005.70 = 334,642,496.60 : x
  2. Step 2: Convert to fraction form
    472,392,003.80/708,588,005.70 = 334,642,496.60/x
  3. Step 3: Cross multiply
    472,392,003.80x = 708,588,005.70 × 334,642,496.60
  4. Step 4: Simplify right side
    472,392,003.80x = 237,123,659,288,263,072
  5. Step 5: Solve for x
    x = 237,123,659,288,263,072/472,392,003.80
  6. Step 6: Final answer
    x = 501,963,744.90

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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.