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Finding the Fourth Proportional to 1,760,138,133,099.30, 2,640,207,199,649 and 1,760,138,133,099.30

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Solution

The fourth proportional to 1,760,138,133,099.30, 2,640,207,199,649 and 1,760,138,133,099.30 is: 2,640,207,199,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,138,133,099.30 : 2,640,207,199,649 = 1,760,138,133,099.30 : x
  2. Step 2: Convert to fraction form
    1,760,138,133,099.30/2,640,207,199,649 = 1,760,138,133,099.30/x
  3. Step 3: Cross multiply
    1,760,138,133,099.30x = 2,640,207,199,649 × 1,760,138,133,099.30
  4. Step 4: Simplify right side
    1,760,138,133,099.30x = 4,647,129,371,385,521,911,103,488
  5. Step 5: Solve for x
    x = 4,647,129,371,385,521,911,103,488/1,760,138,133,099.30
  6. Step 6: Final answer
    x = 2,640,207,199,649

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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.