Finding the Fourth Proportional to 83,861,108,122.97, 125,809,331,283.71 and 27,196,552,757.11
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Solution
The fourth proportional to 83,861,108,122.97, 125,809,331,283.71 and 27,196,552,757.11 is: 40,800,559,307.87
Step by Step Solution
- Step 1: Write the proportion equation
83,861,108,122.97 : 125,809,331,283.71 = 27,196,552,757.11 : x - Step 2: Convert to fraction form
83,861,108,122.97/125,809,331,283.71 = 27,196,552,757.11/x - Step 3: Cross multiply
83,861,108,122.97x = 125,809,331,283.71 × 27,196,552,757.11 - Step 4: Simplify right side
83,861,108,122.97x = 3,421,580,115,594,400,235,520 - Step 5: Solve for x
x = 3,421,580,115,594,400,235,520/83,861,108,122.97 - Step 6: Final answer
x = 40,800,559,307.87
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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.