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Finding the Fourth Proportional to 413,297,693.56, 570,350,848.30 and 227,658,709.25

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Solution

The fourth proportional to 413,297,693.56, 570,350,848.30 and 227,658,709.25 is: 314,169,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,297,693.56 : 570,350,848.30 = 227,658,709.25 : x
  2. Step 2: Convert to fraction form
    413,297,693.56/570,350,848.30 = 227,658,709.25/x
  3. Step 3: Cross multiply
    413,297,693.56x = 570,350,848.30 × 227,658,709.25
  4. Step 4: Simplify right side
    413,297,693.56x = 129,845,337,942,338,480
  5. Step 5: Solve for x
    x = 129,845,337,942,338,480/413,297,693.56
  6. Step 6: Final answer
    x = 314,169,035.94

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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.