Finding the Fourth Proportional to 10,125,117,063,066, 13,973,859,407,359 and 6,014,459,659,544
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Solution
The fourth proportional to 10,125,117,063,066, 13,973,859,407,359 and 6,014,459,659,544 is: 8,300,665,875,783
Step by Step Solution
- Step 1: Write the proportion equation
10,125,117,063,066 : 13,973,859,407,359 = 6,014,459,659,544 : x - Step 2: Convert to fraction form
10,125,117,063,066/13,973,859,407,359 = 6,014,459,659,544/x - Step 3: Cross multiply
10,125,117,063,066x = 13,973,859,407,359 × 6,014,459,659,544 - Step 4: Simplify right side
10,125,117,063,066x = 84,045,213,693,700,134,267,781,120 - Step 5: Solve for x
x = 84,045,213,693,700,134,267,781,120/10,125,117,063,066 - Step 6: Final answer
x = 8,300,665,875,783
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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.