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Finding the Fourth Proportional to 51,528,230,018.80, 77,183,505,911.40 and 51,528,230,018.80

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Solution

The fourth proportional to 51,528,230,018.80, 77,183,505,911.40 and 51,528,230,018.80 is: 77,183,505,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528,230,018.80 : 77,183,505,911.40 = 51,528,230,018.80 : x
  2. Step 2: Convert to fraction form
    51,528,230,018.80/77,183,505,911.40 = 51,528,230,018.80/x
  3. Step 3: Cross multiply
    51,528,230,018.80x = 77,183,505,911.40 × 51,528,230,018.80
  4. Step 4: Simplify right side
    51,528,230,018.80x = 3,977,129,446,260,028,735,488
  5. Step 5: Solve for x
    x = 3,977,129,446,260,028,735,488/51,528,230,018.80
  6. Step 6: Final answer
    x = 77,183,505,911.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.