Finding the Fourth Proportional to 26,973,830,819,060, 40,391,063,580,004 and 18,616,408,331,795
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Solution
The fourth proportional to 26,973,830,819,060, 40,391,063,580,004 and 18,616,408,331,795 is: 27,876,519,935,370.90
Step by Step Solution
- Step 1: Write the proportion equation
26,973,830,819,060 : 40,391,063,580,004 = 18,616,408,331,795 : x - Step 2: Convert to fraction form
26,973,830,819,060/40,391,063,580,004 = 18,616,408,331,795/x - Step 3: Cross multiply
26,973,830,819,060x = 40,391,063,580,004 × 18,616,408,331,795 - Step 4: Simplify right side
26,973,830,819,060x = 751,936,532,560,848,060,250,324,992 - Step 5: Solve for x
x = 751,936,532,560,848,060,250,324,992/26,973,830,819,060 - Step 6: Final answer
x = 27,876,519,935,370.90
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.