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Finding the Fourth Proportional to 299,295,118.40, 448,942,677.60 and 197,174,465.60

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Solution

The fourth proportional to 299,295,118.40, 448,942,677.60 and 197,174,465.60 is: 295,761,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,295,118.40 : 448,942,677.60 = 197,174,465.60 : x
  2. Step 2: Convert to fraction form
    299,295,118.40/448,942,677.60 = 197,174,465.60/x
  3. Step 3: Cross multiply
    299,295,118.40x = 448,942,677.60 × 197,174,465.60
  4. Step 4: Simplify right side
    299,295,118.40x = 88,520,032,540,813,088
  5. Step 5: Solve for x
    x = 88,520,032,540,813,088/299,295,118.40
  6. Step 6: Final answer
    x = 295,761,698.40

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Why These Related Problems?

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