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Finding the Fourth Proportional to 552,096,007.80, 828,144,011.70 and 163,978,740.60

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Solution

The fourth proportional to 552,096,007.80, 828,144,011.70 and 163,978,740.60 is: 245,968,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096,007.80 : 828,144,011.70 = 163,978,740.60 : x
  2. Step 2: Convert to fraction form
    552,096,007.80/828,144,011.70 = 163,978,740.60/x
  3. Step 3: Cross multiply
    552,096,007.80x = 828,144,011.70 × 163,978,740.60
  4. Step 4: Simplify right side
    552,096,007.80x = 135,798,012,073,997,664
  5. Step 5: Solve for x
    x = 135,798,012,073,997,664/552,096,007.80
  6. Step 6: Final answer
    x = 245,968,110.90

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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.