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Finding the Fourth Proportional to 51,018,408,021.60, 71,260,471,821.60 and 51,018,408,021.60

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Solution

The fourth proportional to 51,018,408,021.60, 71,260,471,821.60 and 51,018,408,021.60 is: 71,260,471,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018,408,021.60 : 71,260,471,821.60 = 51,018,408,021.60 : x
  2. Step 2: Convert to fraction form
    51,018,408,021.60/71,260,471,821.60 = 51,018,408,021.60/x
  3. Step 3: Cross multiply
    51,018,408,021.60x = 71,260,471,821.60 × 51,018,408,021.60
  4. Step 4: Simplify right side
    51,018,408,021.60x = 3,635,595,827,206,118,440,960
  5. Step 5: Solve for x
    x = 3,635,595,827,206,118,440,960/51,018,408,021.60
  6. Step 6: Final answer
    x = 71,260,471,821.60

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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.