Finding the Fourth Proportional to 55,993,758,890,500, 77,269,709,759,376 and 30,994,243,691,242
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Solution
The fourth proportional to 55,993,758,890,500, 77,269,709,759,376 and 30,994,243,691,242 is: 42,771,127,741,523.45
Step by Step Solution
- Step 1: Write the proportion equation
55,993,758,890,500 : 77,269,709,759,376 = 30,994,243,691,242 : x - Step 2: Convert to fraction form
55,993,758,890,500/77,269,709,759,376 = 30,994,243,691,242/x - Step 3: Cross multiply
55,993,758,890,500x = 77,269,709,759,376 × 30,994,243,691,242 - Step 4: Simplify right side
55,993,758,890,500x = 2,394,916,214,233,640,027,088,224,256 - Step 5: Solve for x
x = 2,394,916,214,233,640,027,088,224,256/55,993,758,890,500 - Step 6: Final answer
x = 42,771,127,741,523.45
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1.5x scale
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.