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Finding the Fourth Proportional to 806,976,228.80, 1,210,464,343.20 and 806,976,228.80

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Solution

The fourth proportional to 806,976,228.80, 1,210,464,343.20 and 806,976,228.80 is: 1,210,464,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,976,228.80 : 1,210,464,343.20 = 806,976,228.80 : x
  2. Step 2: Convert to fraction form
    806,976,228.80/1,210,464,343.20 = 806,976,228.80/x
  3. Step 3: Cross multiply
    806,976,228.80x = 1,210,464,343.20 × 806,976,228.80
  4. Step 4: Simplify right side
    806,976,228.80x = 976,815,950,772,404,864
  5. Step 5: Solve for x
    x = 976,815,950,772,404,864/806,976,228.80
  6. Step 6: Final answer
    x = 1,210,464,343.20

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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.