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Finding the Fourth Proportional to 806,906,605.40, 1,210,359,908.10 and 806,906,605.40

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Solution

The fourth proportional to 806,906,605.40, 1,210,359,908.10 and 806,906,605.40 is: 1,210,359,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,906,605.40 : 1,210,359,908.10 = 806,906,605.40 : x
  2. Step 2: Convert to fraction form
    806,906,605.40/1,210,359,908.10 = 806,906,605.40/x
  3. Step 3: Cross multiply
    806,906,605.40x = 1,210,359,908.10 × 806,906,605.40
  4. Step 4: Simplify right side
    806,906,605.40x = 976,647,404,757,226,880
  5. Step 5: Solve for x
    x = 976,647,404,757,226,880/806,906,605.40
  6. Step 6: Final answer
    x = 1,210,359,908.10

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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.