Finding the Fourth Proportional to 32,841,864,639,250, 45,321,818,082,828 and 17,824,603,297,263
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Solution
The fourth proportional to 32,841,864,639,250, 45,321,818,082,828 and 17,824,603,297,263 is: 24,597,976,908,767.21
Step by Step Solution
- Step 1: Write the proportion equation
32,841,864,639,250 : 45,321,818,082,828 = 17,824,603,297,263 : x - Step 2: Convert to fraction form
32,841,864,639,250/45,321,818,082,828 = 17,824,603,297,263/x - Step 3: Cross multiply
32,841,864,639,250x = 45,321,818,082,828 × 17,824,603,297,263 - Step 4: Simplify right side
32,841,864,639,250x = 807,843,428,037,129,792,640,778,240 - Step 5: Solve for x
x = 807,843,428,037,129,792,640,778,240/32,841,864,639,250 - Step 6: Final answer
x = 24,597,976,908,767.21
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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.