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Finding the Fourth Proportional to 5,047,596,002.37, 7,571,394,003.55 and 5,047,596,002.37

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Solution

The fourth proportional to 5,047,596,002.37, 7,571,394,003.55 and 5,047,596,002.37 is: 7,571,394,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,596,002.37 : 7,571,394,003.55 = 5,047,596,002.37 : x
  2. Step 2: Convert to fraction form
    5,047,596,002.37/7,571,394,003.55 = 5,047,596,002.37/x
  3. Step 3: Cross multiply
    5,047,596,002.37x = 7,571,394,003.55 × 5,047,596,002.37
  4. Step 4: Simplify right side
    5,047,596,002.37x = 38,217,338,104,624,070,656
  5. Step 5: Solve for x
    x = 38,217,338,104,624,070,656/5,047,596,002.37
  6. Step 6: Final answer
    x = 7,571,394,003.55

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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.