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Finding the Fourth Proportional to 182,773,872,002.20, 273,644,829,968.10 and 182,773,872,002.20

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Solution

The fourth proportional to 182,773,872,002.20, 273,644,829,968.10 and 182,773,872,002.20 is: 273,644,829,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,773,872,002.20 : 273,644,829,968.10 = 182,773,872,002.20 : x
  2. Step 2: Convert to fraction form
    182,773,872,002.20/273,644,829,968.10 = 182,773,872,002.20/x
  3. Step 3: Cross multiply
    182,773,872,002.20x = 273,644,829,968.10 × 182,773,872,002.20
  4. Step 4: Simplify right side
    182,773,872,002.20x = 50,015,125,126,653,300,178,944
  5. Step 5: Solve for x
    x = 50,015,125,126,653,300,178,944/182,773,872,002.20
  6. Step 6: Final answer
    x = 273,644,829,968.10

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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.