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Finding the Fourth Proportional to 413,503,316.42, 620,252,727.28 and 238,512,917.12

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Solution

The fourth proportional to 413,503,316.42, 620,252,727.28 and 238,512,917.12 is: 357,768,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,503,316.42 : 620,252,727.28 = 238,512,917.12 : x
  2. Step 2: Convert to fraction form
    413,503,316.42/620,252,727.28 = 238,512,917.12/x
  3. Step 3: Cross multiply
    413,503,316.42x = 620,252,727.28 × 238,512,917.12
  4. Step 4: Simplify right side
    413,503,316.42x = 147,938,287,331,491,072
  5. Step 5: Solve for x
    x = 147,938,287,331,491,072/413,503,316.42
  6. Step 6: Final answer
    x = 357,768,079.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.