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Finding the Fourth Proportional to 806,906,250.40, 1,210,359,375.60 and 806,906,250.40

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Solution

The fourth proportional to 806,906,250.40, 1,210,359,375.60 and 806,906,250.40 is: 1,210,359,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,906,250.40 : 1,210,359,375.60 = 806,906,250.40 : x
  2. Step 2: Convert to fraction form
    806,906,250.40/1,210,359,375.60 = 806,906,250.40/x
  3. Step 3: Cross multiply
    806,906,250.40x = 1,210,359,375.60 × 806,906,250.40
  4. Step 4: Simplify right side
    806,906,250.40x = 976,646,545,401,881,088
  5. Step 5: Solve for x
    x = 976,646,545,401,881,088/806,906,250.40
  6. Step 6: Final answer
    x = 1,210,359,375.60

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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.