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Finding the Fourth Proportional to 36,292,227,178.40, 54,438,340,767.60 and 36,292,227,178.40

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Solution

The fourth proportional to 36,292,227,178.40, 54,438,340,767.60 and 36,292,227,178.40 is: 54,438,340,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292,227,178.40 : 54,438,340,767.60 = 36,292,227,178.40 : x
  2. Step 2: Convert to fraction form
    36,292,227,178.40/54,438,340,767.60 = 36,292,227,178.40/x
  3. Step 3: Cross multiply
    36,292,227,178.40x = 54,438,340,767.60 × 36,292,227,178.40
  4. Step 4: Simplify right side
    36,292,227,178.40x = 1,975,688,630,352,893,444,096
  5. Step 5: Solve for x
    x = 1,975,688,630,352,893,444,096/36,292,227,178.40
  6. Step 6: Final answer
    x = 54,438,340,767.60

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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.