Finding the Fourth Proportional to 9,705,023,616,167, 13,393,353,587,242 and 5,374,437,390,125
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Solution
The fourth proportional to 9,705,023,616,167, 13,393,353,587,242 and 5,374,437,390,125 is: 7,416,956,737,593.95
Step by Step Solution
- Step 1: Write the proportion equation
9,705,023,616,167 : 13,393,353,587,242 = 5,374,437,390,125 : x - Step 2: Convert to fraction form
9,705,023,616,167/13,393,353,587,242 = 5,374,437,390,125/x - Step 3: Cross multiply
9,705,023,616,167x = 13,393,353,587,242 × 5,374,437,390,125 - Step 4: Simplify right side
9,705,023,616,167x = 71,981,740,298,438,200,778,555,392 - Step 5: Solve for x
x = 71,981,740,298,438,200,778,555,392/9,705,023,616,167 - Step 6: Final answer
x = 7,416,956,737,593.95
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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.