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Finding the Fourth Proportional to 51,018,453,034.20, 76,389,930,044.10 and 51,018,453,034.20

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Solution

The fourth proportional to 51,018,453,034.20, 76,389,930,044.10 and 51,018,453,034.20 is: 76,389,930,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018,453,034.20 : 76,389,930,044.10 = 51,018,453,034.20 : x
  2. Step 2: Convert to fraction form
    51,018,453,034.20/76,389,930,044.10 = 51,018,453,034.20/x
  3. Step 3: Cross multiply
    51,018,453,034.20x = 76,389,930,044.10 × 51,018,453,034.20
  4. Step 4: Simplify right side
    51,018,453,034.20x = 3,897,296,058,240,739,573,760
  5. Step 5: Solve for x
    x = 3,897,296,058,240,739,573,760/51,018,453,034.20
  6. Step 6: Final answer
    x = 76,389,930,044.10

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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.