Finding the Fourth Proportional to 13,450,655,017,810, 20,178,578,339,928 and 4,392,822,910,823.20
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Solution
The fourth proportional to 13,450,655,017,810, 20,178,578,339,928 and 4,392,822,910,823.20 is: 6,590,082,127,755.65
Step by Step Solution
- Step 1: Write the proportion equation
13,450,655,017,810 : 20,178,578,339,928 = 4,392,822,910,823.20 : x - Step 2: Convert to fraction form
13,450,655,017,810/20,178,578,339,928 = 4,392,822,910,823.20/x - Step 3: Cross multiply
13,450,655,017,810x = 20,178,578,339,928 × 4,392,822,910,823.20 - Step 4: Simplify right side
13,450,655,017,810x = 88,640,921,239,476,496,756,637,696 - Step 5: Solve for x
x = 88,640,921,239,476,496,756,637,696/13,450,655,017,810 - Step 6: Final answer
x = 6,590,082,127,755.65
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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.