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Finding the Fourth Proportional to 2,640,198,889,498, 3,960,298,334,247 and 2,640,198,889,498

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Solution

The fourth proportional to 2,640,198,889,498, 3,960,298,334,247 and 2,640,198,889,498 is: 3,960,298,334,247

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,498 : 3,960,298,334,247 = 2,640,198,889,498 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,498/3,960,298,334,247 = 2,640,198,889,498/x
  3. Step 3: Cross multiply
    2,640,198,889,498x = 3,960,298,334,247 × 2,640,198,889,498
  4. Step 4: Simplify right side
    2,640,198,889,498x = 10,455,975,264,159,708,712,271,872
  5. Step 5: Solve for x
    x = 10,455,975,264,159,708,712,271,872/2,640,198,889,498
  6. Step 6: Final answer
    x = 3,960,298,334,247

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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.