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Finding the Fourth Proportional to 806,906,277.40, 1,210,359,416.10 and 806,906,277.40

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Solution

The fourth proportional to 806,906,277.40, 1,210,359,416.10 and 806,906,277.40 is: 1,210,359,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,906,277.40 : 1,210,359,416.10 = 806,906,277.40 : x
  2. Step 2: Convert to fraction form
    806,906,277.40/1,210,359,416.10 = 806,906,277.40/x
  3. Step 3: Cross multiply
    806,906,277.40x = 1,210,359,416.10 × 806,906,277.40
  4. Step 4: Simplify right side
    806,906,277.40x = 976,646,610,761,288,576
  5. Step 5: Solve for x
    x = 976,646,610,761,288,576/806,906,277.40
  6. Step 6: Final answer
    x = 1,210,359,416.10

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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.