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Finding the Fourth Proportional to 552,096,016.80, 828,144,025.20 and 163,978,749.60

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Solution

The fourth proportional to 552,096,016.80, 828,144,025.20 and 163,978,749.60 is: 245,968,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096,016.80 : 828,144,025.20 = 163,978,749.60 : x
  2. Step 2: Convert to fraction form
    552,096,016.80/828,144,025.20 = 163,978,749.60/x
  3. Step 3: Cross multiply
    552,096,016.80x = 828,144,025.20 × 163,978,749.60
  4. Step 4: Simplify right side
    552,096,016.80x = 135,798,021,741,006,896
  5. Step 5: Solve for x
    x = 135,798,021,741,006,896/552,096,016.80
  6. Step 6: Final answer
    x = 245,968,124.40

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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.