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Finding the Fourth Proportional to 30,343,896,007.45, 45,454,622,007.97 and 30,343,896,007.45

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Solution

The fourth proportional to 30,343,896,007.45, 45,454,622,007.97 and 30,343,896,007.45 is: 45,454,622,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343,896,007.45 : 45,454,622,007.97 = 30,343,896,007.45 : x
  2. Step 2: Convert to fraction form
    30,343,896,007.45/45,454,622,007.97 = 30,343,896,007.45/x
  3. Step 3: Cross multiply
    30,343,896,007.45x = 45,454,622,007.97 × 30,343,896,007.45
  4. Step 4: Simplify right side
    30,343,896,007.45x = 1,379,270,323,267,789,914,112
  5. Step 5: Solve for x
    x = 1,379,270,323,267,789,914,112/30,343,896,007.45
  6. Step 6: Final answer
    x = 45,454,622,007.97

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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.