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Finding the Fourth Proportional to 2,640,198,889,495, 3,960,298,334,242.50 and 2,640,198,889,495

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Solution

The fourth proportional to 2,640,198,889,495, 3,960,298,334,242.50 and 2,640,198,889,495 is: 3,960,298,334,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,495 : 3,960,298,334,242.50 = 2,640,198,889,495 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,495/3,960,298,334,242.50 = 2,640,198,889,495/x
  3. Step 3: Cross multiply
    2,640,198,889,495x = 3,960,298,334,242.50 × 2,640,198,889,495
  4. Step 4: Simplify right side
    2,640,198,889,495x = 10,455,975,264,135,946,805,706,752
  5. Step 5: Solve for x
    x = 10,455,975,264,135,946,805,706,752/2,640,198,889,495
  6. Step 6: Final answer
    x = 3,960,298,334,242.50

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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.