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Finding the Fourth Proportional to 49,592,414,783.70, 74,388,622,175.55 and 49,592,414,783.70

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Solution

The fourth proportional to 49,592,414,783.70, 74,388,622,175.55 and 49,592,414,783.70 is: 74,388,622,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592,414,783.70 : 74,388,622,175.55 = 49,592,414,783.70 : x
  2. Step 2: Convert to fraction form
    49,592,414,783.70/74,388,622,175.55 = 49,592,414,783.70/x
  3. Step 3: Cross multiply
    49,592,414,783.70x = 74,388,622,175.55 × 49,592,414,783.70
  4. Step 4: Simplify right side
    49,592,414,783.70x = 3,689,111,406,117,819,252,736
  5. Step 5: Solve for x
    x = 3,689,111,406,117,819,252,736/49,592,414,783.70
  6. Step 6: Final answer
    x = 74,388,622,175.55

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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.