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Finding the Fourth Proportional to 906,706,976.40, 1,271,808,414 and 906,706,976.40

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Solution

The fourth proportional to 906,706,976.40, 1,271,808,414 and 906,706,976.40 is: 1,271,808,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,706,976.40 : 1,271,808,414 = 906,706,976.40 : x
  2. Step 2: Convert to fraction form
    906,706,976.40/1,271,808,414 = 906,706,976.40/x
  3. Step 3: Cross multiply
    906,706,976.40x = 1,271,808,414 × 906,706,976.40
  4. Step 4: Simplify right side
    906,706,976.40x = 1,153,157,561,618,019,328
  5. Step 5: Solve for x
    x = 1,153,157,561,618,019,328/906,706,976.40
  6. Step 6: Final answer
    x = 1,271,808,414

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.