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Finding the Fourth Proportional to 299,901,538.94, 449,872,047.12 and 78,578,298.19

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Solution

The fourth proportional to 299,901,538.94, 449,872,047.12 and 78,578,298.19 is: 117,872,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,901,538.94 : 449,872,047.12 = 78,578,298.19 : x
  2. Step 2: Convert to fraction form
    299,901,538.94/449,872,047.12 = 78,578,298.19/x
  3. Step 3: Cross multiply
    299,901,538.94x = 449,872,047.12 × 78,578,298.19
  4. Step 4: Simplify right side
    299,901,538.94x = 35,350,179,863,298,840
  5. Step 5: Solve for x
    x = 35,350,179,863,298,840/299,901,538.94
  6. Step 6: Final answer
    x = 117,872,619.09

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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.