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Finding the Fourth Proportional to 392,642,691.76, 541,871,157 and 216,430,289.74

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Solution

The fourth proportional to 392,642,691.76, 541,871,157 and 216,430,289.74 is: 298,687,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642,691.76 : 541,871,157 = 216,430,289.74 : x
  2. Step 2: Convert to fraction form
    392,642,691.76/541,871,157 = 216,430,289.74/x
  3. Step 3: Cross multiply
    392,642,691.76x = 541,871,157 × 216,430,289.74
  4. Step 4: Simplify right side
    392,642,691.76x = 117,277,331,511,259,040
  5. Step 5: Solve for x
    x = 117,277,331,511,259,040/392,642,691.76
  6. Step 6: Final answer
    x = 298,687,162.58

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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.