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Finding the Fourth Proportional to 314,847,734,594.43, 472,271,601,891.60 and 314,847,734,594.43

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Solution

The fourth proportional to 314,847,734,594.43, 472,271,601,891.60 and 314,847,734,594.43 is: 472,271,601,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,847,734,594.43 : 472,271,601,891.60 = 314,847,734,594.43 : x
  2. Step 2: Convert to fraction form
    314,847,734,594.43/472,271,601,891.60 = 314,847,734,594.43/x
  3. Step 3: Cross multiply
    314,847,734,594.43x = 472,271,601,891.60 × 314,847,734,594.43
  4. Step 4: Simplify right side
    314,847,734,594.43x = 148,693,643,968,852,770,422,784
  5. Step 5: Solve for x
    x = 148,693,643,968,852,770,422,784/314,847,734,594.43
  6. Step 6: Final answer
    x = 472,271,601,891.60

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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.