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Finding the Fourth Proportional to 807,150,824.10, 1,208,813,048.55 and 807,150,824.10

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Solution

The fourth proportional to 807,150,824.10, 1,208,813,048.55 and 807,150,824.10 is: 1,208,813,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,150,824.10 : 1,208,813,048.55 = 807,150,824.10 : x
  2. Step 2: Convert to fraction form
    807,150,824.10/1,208,813,048.55 = 807,150,824.10/x
  3. Step 3: Cross multiply
    807,150,824.10x = 1,208,813,048.55 × 807,150,824.10
  4. Step 4: Simplify right side
    807,150,824.10x = 975,694,448,319,965,824
  5. Step 5: Solve for x
    x = 975,694,448,319,965,824/807,150,824.10
  6. Step 6: Final answer
    x = 1,208,813,048.55

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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.