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Finding the Fourth Proportional to 42,815,142,431.70, 64,222,713,647.55 and 42,815,142,431.70

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Solution

The fourth proportional to 42,815,142,431.70, 64,222,713,647.55 and 42,815,142,431.70 is: 64,222,713,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,815,142,431.70 : 64,222,713,647.55 = 42,815,142,431.70 : x
  2. Step 2: Convert to fraction form
    42,815,142,431.70/64,222,713,647.55 = 42,815,142,431.70/x
  3. Step 3: Cross multiply
    42,815,142,431.70x = 64,222,713,647.55 × 42,815,142,431.70
  4. Step 4: Simplify right side
    42,815,142,431.70x = 2,749,704,632,170,136,469,504
  5. Step 5: Solve for x
    x = 2,749,704,632,170,136,469,504/42,815,142,431.70
  6. Step 6: Final answer
    x = 64,222,713,647.55

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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.