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Finding the Fourth Proportional to 30,651,007,961.70, 45,976,511,942.55 and 30,651,007,961.70

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Solution

The fourth proportional to 30,651,007,961.70, 45,976,511,942.55 and 30,651,007,961.70 is: 45,976,511,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651,007,961.70 : 45,976,511,942.55 = 30,651,007,961.70 : x
  2. Step 2: Convert to fraction form
    30,651,007,961.70/45,976,511,942.55 = 30,651,007,961.70/x
  3. Step 3: Cross multiply
    30,651,007,961.70x = 45,976,511,942.55 × 30,651,007,961.70
  4. Step 4: Simplify right side
    30,651,007,961.70x = 1,409,226,433,602,295,431,168
  5. Step 5: Solve for x
    x = 1,409,226,433,602,295,431,168/30,651,007,961.70
  6. Step 6: Final answer
    x = 45,976,511,942.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.