Finding the Fourth Proportional to 26,819,892,809,216, 37,018,338,420,500 and 17,467,994,428,323
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Solution
The fourth proportional to 26,819,892,809,216, 37,018,338,420,500 and 17,467,994,428,323 is: 24,110,317,437,691.94
Step by Step Solution
- Step 1: Write the proportion equation
26,819,892,809,216 : 37,018,338,420,500 = 17,467,994,428,323 : x - Step 2: Convert to fraction form
26,819,892,809,216/37,018,338,420,500 = 17,467,994,428,323/x - Step 3: Cross multiply
26,819,892,809,216x = 37,018,338,420,500 × 17,467,994,428,323 - Step 4: Simplify right side
26,819,892,809,216x = 646,636,129,275,069,218,932,391,936 - Step 5: Solve for x
x = 646,636,129,275,069,218,932,391,936/26,819,892,809,216 - Step 6: Final answer
x = 24,110,317,437,691.94
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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.