Finding the Fourth Proportional to 19,674,863,645,605, 27,152,165,312,339 and 10,895,524,524,534
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Solution
The fourth proportional to 19,674,863,645,605, 27,152,165,312,339 and 10,895,524,524,534 is: 15,036,296,483,857.74
Step by Step Solution
- Step 1: Write the proportion equation
19,674,863,645,605 : 27,152,165,312,339 = 10,895,524,524,534 : x - Step 2: Convert to fraction form
19,674,863,645,605/27,152,165,312,339 = 10,895,524,524,534/x - Step 3: Cross multiply
19,674,863,645,605x = 27,152,165,312,339 × 10,895,524,524,534 - Step 4: Simplify right side
19,674,863,645,605x = 295,837,083,054,790,946,423,046,144 - Step 5: Solve for x
x = 295,837,083,054,790,946,423,046,144/19,674,863,645,605 - Step 6: Final answer
x = 15,036,296,483,857.74
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.