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Finding the Fourth Proportional to 2,008,059,319.40, 3,012,088,979.10 and 2,008,059,319.40

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Solution

The fourth proportional to 2,008,059,319.40, 3,012,088,979.10 and 2,008,059,319.40 is: 3,012,088,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,059,319.40 : 3,012,088,979.10 = 2,008,059,319.40 : x
  2. Step 2: Convert to fraction form
    2,008,059,319.40/3,012,088,979.10 = 2,008,059,319.40/x
  3. Step 3: Cross multiply
    2,008,059,319.40x = 3,012,088,979.10 × 2,008,059,319.40
  4. Step 4: Simplify right side
    2,008,059,319.40x = 6,048,453,345,343,787,008
  5. Step 5: Solve for x
    x = 6,048,453,345,343,787,008/2,008,059,319.40
  6. Step 6: Final answer
    x = 3,012,088,979.10

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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.