Finding the Fourth Proportional to 39,767,270,804,803, 54,870,874,492,939 and 22,205,890,485,646
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Solution
The fourth proportional to 39,767,270,804,803, 54,870,874,492,939 and 22,205,890,485,646 is: 30,639,684,473,762.47
Step by Step Solution
- Step 1: Write the proportion equation
39,767,270,804,803 : 54,870,874,492,939 = 22,205,890,485,646 : x - Step 2: Convert to fraction form
39,767,270,804,803/54,870,874,492,939 = 22,205,890,485,646/x - Step 3: Cross multiply
39,767,270,804,803x = 54,870,874,492,939 × 22,205,890,485,646 - Step 4: Simplify right side
39,767,270,804,803x = 1,218,456,629,841,829,984,582,238,208 - Step 5: Solve for x
x = 1,218,456,629,841,829,984,582,238,208/39,767,270,804,803 - Step 6: Final answer
x = 30,639,684,473,762.47
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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.