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Finding the Fourth Proportional to 200,407,182,002.10, 300,610,773,003.15 and 200,407,182,002.10

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Solution

The fourth proportional to 200,407,182,002.10, 300,610,773,003.15 and 200,407,182,002.10 is: 300,610,773,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,407,182,002.10 : 300,610,773,003.15 = 200,407,182,002.10 : x
  2. Step 2: Convert to fraction form
    200,407,182,002.10/300,610,773,003.15 = 200,407,182,002.10/x
  3. Step 3: Cross multiply
    200,407,182,002.10x = 300,610,773,003.15 × 200,407,182,002.10
  4. Step 4: Simplify right side
    200,407,182,002.10x = 60,244,557,897,034,257,924,096
  5. Step 5: Solve for x
    x = 60,244,557,897,034,257,924,096/200,407,182,002.10
  6. Step 6: Final answer
    x = 300,610,773,003.15

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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.