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Finding the Fourth Proportional to 1,760,132,592,907.90, 2,640,198,889,362 and 1,760,132,592,907.90

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Solution

The fourth proportional to 1,760,132,592,907.90, 2,640,198,889,362 and 1,760,132,592,907.90 is: 2,640,198,889,362

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,132,592,907.90 : 2,640,198,889,362 = 1,760,132,592,907.90 : x
  2. Step 2: Convert to fraction form
    1,760,132,592,907.90/2,640,198,889,362 = 1,760,132,592,907.90/x
  3. Step 3: Cross multiply
    1,760,132,592,907.90x = 2,640,198,889,362 × 1,760,132,592,907.90
  4. Step 4: Simplify right side
    1,760,132,592,907.90x = 4,647,100,116,925,294,477,049,856
  5. Step 5: Solve for x
    x = 4,647,100,116,925,294,477,049,856/1,760,132,592,907.90
  6. Step 6: Final answer
    x = 2,640,198,889,362

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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.