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Finding the Fourth Proportional to 601,467,663.59, 830,198,364.17 and 363,275,013.32

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Solution

The fourth proportional to 601,467,663.59, 830,198,364.17 and 363,275,013.32 is: 501,424,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,467,663.59 : 830,198,364.17 = 363,275,013.32 : x
  2. Step 2: Convert to fraction form
    601,467,663.59/830,198,364.17 = 363,275,013.32/x
  3. Step 3: Cross multiply
    601,467,663.59x = 830,198,364.17 × 363,275,013.32
  4. Step 4: Simplify right side
    601,467,663.59x = 301,590,321,802,098,944
  5. Step 5: Solve for x
    x = 301,590,321,802,098,944/601,467,663.59
  6. Step 6: Final answer
    x = 501,424,000.09

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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.