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Finding the Fourth Proportional to 51,018,408,046.10, 71,260,471,855.90 and 51,018,408,046.10

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Solution

The fourth proportional to 51,018,408,046.10, 71,260,471,855.90 and 51,018,408,046.10 is: 71,260,471,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018,408,046.10 : 71,260,471,855.90 = 51,018,408,046.10 : x
  2. Step 2: Convert to fraction form
    51,018,408,046.10/71,260,471,855.90 = 51,018,408,046.10/x
  3. Step 3: Cross multiply
    51,018,408,046.10x = 71,260,471,855.90 × 51,018,408,046.10
  4. Step 4: Simplify right side
    51,018,408,046.10x = 3,635,595,830,701,930,840,064
  5. Step 5: Solve for x
    x = 3,635,595,830,701,930,840,064/51,018,408,046.10
  6. Step 6: Final answer
    x = 71,260,471,855.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.