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Finding the Fourth Proportional to 242,665,978.80, 363,998,968.20 and 97,122,003.60

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Solution

The fourth proportional to 242,665,978.80, 363,998,968.20 and 97,122,003.60 is: 145,683,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,665,978.80 : 363,998,968.20 = 97,122,003.60 : x
  2. Step 2: Convert to fraction form
    242,665,978.80/363,998,968.20 = 97,122,003.60/x
  3. Step 3: Cross multiply
    242,665,978.80x = 363,998,968.20 × 97,122,003.60
  4. Step 4: Simplify right side
    242,665,978.80x = 35,352,309,099,916,684
  5. Step 5: Solve for x
    x = 35,352,309,099,916,684/242,665,978.80
  6. Step 6: Final answer
    x = 145,683,005.40

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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.