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Finding the Fourth Proportional to 2,008,094,781.40, 3,012,142,172.10 and 2,008,094,781.40

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Solution

The fourth proportional to 2,008,094,781.40, 3,012,142,172.10 and 2,008,094,781.40 is: 3,012,142,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,094,781.40 : 3,012,142,172.10 = 2,008,094,781.40 : x
  2. Step 2: Convert to fraction form
    2,008,094,781.40/3,012,142,172.10 = 2,008,094,781.40/x
  3. Step 3: Cross multiply
    2,008,094,781.40x = 3,012,142,172.10 × 2,008,094,781.40
  4. Step 4: Simplify right side
    2,008,094,781.40x = 6,048,666,976,628,871,168
  5. Step 5: Solve for x
    x = 6,048,666,976,628,871,168/2,008,094,781.40
  6. Step 6: Final answer
    x = 3,012,142,172.10

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1.5x scale

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.