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Finding the Fourth Proportional to 2,640,198,889,486, 3,960,298,334,229 and 2,640,198,889,486

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Solution

The fourth proportional to 2,640,198,889,486, 3,960,298,334,229 and 2,640,198,889,486 is: 3,960,298,334,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,486 : 3,960,298,334,229 = 2,640,198,889,486 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,486/3,960,298,334,229 = 2,640,198,889,486/x
  3. Step 3: Cross multiply
    2,640,198,889,486x = 3,960,298,334,229 × 2,640,198,889,486
  4. Step 4: Simplify right side
    2,640,198,889,486x = 10,455,975,264,064,661,086,011,392
  5. Step 5: Solve for x
    x = 10,455,975,264,064,661,086,011,392/2,640,198,889,486
  6. Step 6: Final answer
    x = 3,960,298,334,229

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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.