Finding the Fourth Proportional to 40,778,705,561,556, 56,285,084,118,945 and 26,559,472,351,641
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Solution
The fourth proportional to 40,778,705,561,556, 56,285,084,118,945 and 26,559,472,351,641 is: 36,658,891,322,833.51
Step by Step Solution
- Step 1: Write the proportion equation
40,778,705,561,556 : 56,285,084,118,945 = 26,559,472,351,641 : x - Step 2: Convert to fraction form
40,778,705,561,556/56,285,084,118,945 = 26,559,472,351,641/x - Step 3: Cross multiply
40,778,705,561,556x = 56,285,084,118,945 × 26,559,472,351,641 - Step 4: Simplify right side
40,778,705,561,556x = 1,494,902,135,466,907,658,847,518,720 - Step 5: Solve for x
x = 1,494,902,135,466,907,658,847,518,720/40,778,705,561,556 - Step 6: Final answer
x = 36,658,891,322,833.51
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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.