Finding the Fourth Proportional to 29,766,270,296,796, 41,085,095,872,716 and 19,386,991,862,085
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Solution
The fourth proportional to 29,766,270,296,796, 41,085,095,872,716 and 19,386,991,862,085 is: 26,759,026,622,931.09
Step by Step Solution
- Step 1: Write the proportion equation
29,766,270,296,796 : 41,085,095,872,716 = 19,386,991,862,085 : x - Step 2: Convert to fraction form
29,766,270,296,796/41,085,095,872,716 = 19,386,991,862,085/x - Step 3: Cross multiply
29,766,270,296,796x = 41,085,095,872,716 × 19,386,991,862,085 - Step 4: Simplify right side
29,766,270,296,796x = 796,516,419,337,327,142,416,416,768 - Step 5: Solve for x
x = 796,516,419,337,327,142,416,416,768/29,766,270,296,796 - Step 6: Final answer
x = 26,759,026,622,931.09
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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.