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Finding the Fourth Proportional to 601,467,662.59, 830,198,362.79 and 363,275,012.32

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Solution

The fourth proportional to 601,467,662.59, 830,198,362.79 and 363,275,012.32 is: 501,423,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,467,662.59 : 830,198,362.79 = 363,275,012.32 : x
  2. Step 2: Convert to fraction form
    601,467,662.59/830,198,362.79 = 363,275,012.32/x
  3. Step 3: Cross multiply
    601,467,662.59x = 830,198,362.79 × 363,275,012.32
  4. Step 4: Simplify right side
    601,467,662.59x = 301,590,320,470,840,192
  5. Step 5: Solve for x
    x = 301,590,320,470,840,192/601,467,662.59
  6. Step 6: Final answer
    x = 501,423,998.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.