Finding the Fourth Proportional to 9,705,023,615,998, 13,393,353,587,008 and 5,374,437,389,955
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Solution
The fourth proportional to 9,705,023,615,998, 13,393,353,587,008 and 5,374,437,389,955 is: 7,416,956,737,358.91
Step by Step Solution
- Step 1: Write the proportion equation
9,705,023,615,998 : 13,393,353,587,008 = 5,374,437,389,955 : x - Step 2: Convert to fraction form
9,705,023,615,998/13,393,353,587,008 = 5,374,437,389,955/x - Step 3: Cross multiply
9,705,023,615,998x = 13,393,353,587,008 × 5,374,437,389,955 - Step 4: Simplify right side
9,705,023,615,998x = 71,981,740,294,903,708,981,919,744 - Step 5: Solve for x
x = 71,981,740,294,903,708,981,919,744/9,705,023,615,998 - Step 6: Final answer
x = 7,416,956,737,358.91
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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.