Home / 200,884,702,002.60-301,327,053,003.90-180,428,900,183.40

Finding the Fourth Proportional to 200,884,702,002.60, 301,327,053,003.90 and 180,428,900,183.40

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Solution

The fourth proportional to 200,884,702,002.60, 301,327,053,003.90 and 180,428,900,183.40 is: 270,643,350,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,884,702,002.60 : 301,327,053,003.90 = 180,428,900,183.40 : x
  2. Step 2: Convert to fraction form
    200,884,702,002.60/301,327,053,003.90 = 180,428,900,183.40/x
  3. Step 3: Cross multiply
    200,884,702,002.60x = 301,327,053,003.90 × 180,428,900,183.40
  4. Step 4: Simplify right side
    200,884,702,002.60x = 54,368,108,768,998,757,236,736
  5. Step 5: Solve for x
    x = 54,368,108,768,998,757,236,736/200,884,702,002.60
  6. Step 6: Final answer
    x = 270,643,350,275.10

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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.