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Finding the Fourth Proportional to 37,098,652,065.60, 55,647,978,098.40 and 37,098,652,065.60

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Solution

The fourth proportional to 37,098,652,065.60, 55,647,978,098.40 and 37,098,652,065.60 is: 55,647,978,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098,652,065.60 : 55,647,978,098.40 = 37,098,652,065.60 : x
  2. Step 2: Convert to fraction form
    37,098,652,065.60/55,647,978,098.40 = 37,098,652,065.60/x
  3. Step 3: Cross multiply
    37,098,652,065.60x = 55,647,978,098.40 × 37,098,652,065.60
  4. Step 4: Simplify right side
    37,098,652,065.60x = 2,064,464,977,626,670,563,328
  5. Step 5: Solve for x
    x = 2,064,464,977,626,670,563,328/37,098,652,065.60
  6. Step 6: Final answer
    x = 55,647,978,098.40

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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.