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Finding the Fourth Proportional to 896,965,664.40, 1,345,448,496.60 and 896,965,664.40

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Solution

The fourth proportional to 896,965,664.40, 1,345,448,496.60 and 896,965,664.40 is: 1,345,448,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,965,664.40 : 1,345,448,496.60 = 896,965,664.40 : x
  2. Step 2: Convert to fraction form
    896,965,664.40/1,345,448,496.60 = 896,965,664.40/x
  3. Step 3: Cross multiply
    896,965,664.40x = 1,345,448,496.60 × 896,965,664.40
  4. Step 4: Simplify right side
    896,965,664.40x = 1,206,821,104,668,800,000
  5. Step 5: Solve for x
    x = 1,206,821,104,668,800,000/896,965,664.40
  6. Step 6: Final answer
    x = 1,345,448,496.60

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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.