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Finding the Fourth Proportional to 2,689,962,432,801.30, 4,034,943,649,201.80 and 2,689,962,432,801.30

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Solution

The fourth proportional to 2,689,962,432,801.30, 4,034,943,649,201.80 and 2,689,962,432,801.30 is: 4,034,943,649,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,962,432,801.30 : 4,034,943,649,201.80 = 2,689,962,432,801.30 : x
  2. Step 2: Convert to fraction form
    2,689,962,432,801.30/4,034,943,649,201.80 = 2,689,962,432,801.30/x
  3. Step 3: Cross multiply
    2,689,962,432,801.30x = 4,034,943,649,201.80 × 2,689,962,432,801.30
  4. Step 4: Simplify right side
    2,689,962,432,801.30x = 10,853,846,834,823,027,130,105,856
  5. Step 5: Solve for x
    x = 10,853,846,834,823,027,130,105,856/2,689,962,432,801.30
  6. Step 6: Final answer
    x = 4,034,943,649,201.80

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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.