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Finding the Fourth Proportional to 2,640,198,889,504, 3,960,298,334,256 and 2,640,198,889,504

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Solution

The fourth proportional to 2,640,198,889,504, 3,960,298,334,256 and 2,640,198,889,504 is: 3,960,298,334,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,504 : 3,960,298,334,256 = 2,640,198,889,504 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,504/3,960,298,334,256 = 2,640,198,889,504/x
  3. Step 3: Cross multiply
    2,640,198,889,504x = 3,960,298,334,256 × 2,640,198,889,504
  4. Step 4: Simplify right side
    2,640,198,889,504x = 10,455,975,264,207,232,525,402,112
  5. Step 5: Solve for x
    x = 10,455,975,264,207,232,525,402,112/2,640,198,889,504
  6. Step 6: Final answer
    x = 3,960,298,334,256

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.