Finding the Fourth Proportional to 40,778,705,561,557, 56,285,084,118,946 and 26,559,472,351,642
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Solution
The fourth proportional to 40,778,705,561,557, 56,285,084,118,946 and 26,559,472,351,642 is: 36,658,891,322,834.63
Step by Step Solution
- Step 1: Write the proportion equation
40,778,705,561,557 : 56,285,084,118,946 = 26,559,472,351,642 : x - Step 2: Convert to fraction form
40,778,705,561,557/56,285,084,118,946 = 26,559,472,351,642/x - Step 3: Cross multiply
40,778,705,561,557x = 56,285,084,118,946 × 26,559,472,351,642 - Step 4: Simplify right side
40,778,705,561,557x = 1,494,902,135,466,990,397,097,508,864 - Step 5: Solve for x
x = 1,494,902,135,466,990,397,097,508,864/40,778,705,561,557 - Step 6: Final answer
x = 36,658,891,322,834.63
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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.