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Finding the Fourth Proportional to 2,760,658,848,029.50, 4,140,988,272,043.90 and 2,760,658,848,029.50

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Solution

The fourth proportional to 2,760,658,848,029.50, 4,140,988,272,043.90 and 2,760,658,848,029.50 is: 4,140,988,272,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,658,848,029.50 : 4,140,988,272,043.90 = 2,760,658,848,029.50 : x
  2. Step 2: Convert to fraction form
    2,760,658,848,029.50/4,140,988,272,043.90 = 2,760,658,848,029.50/x
  3. Step 3: Cross multiply
    2,760,658,848,029.50x = 4,140,988,272,043.90 × 2,760,658,848,029.50
  4. Step 4: Simplify right side
    2,760,658,848,029.50x = 11,431,855,912,804,381,666,312,192
  5. Step 5: Solve for x
    x = 11,431,855,912,804,381,666,312,192/2,760,658,848,029.50
  6. Step 6: Final answer
    x = 4,140,988,272,043.90

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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.