Finding the Fourth Proportional to 10,125,117,064,315, 13,973,859,409,086 and 6,014,459,660,793.80
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Solution
The fourth proportional to 10,125,117,064,315, 13,973,859,409,086 and 6,014,459,660,793.80 is: 8,300,665,877,509.79
Step by Step Solution
- Step 1: Write the proportion equation
10,125,117,064,315 : 13,973,859,409,086 = 6,014,459,660,793.80 : x - Step 2: Convert to fraction form
10,125,117,064,315/13,973,859,409,086 = 6,014,459,660,793.80/x - Step 3: Cross multiply
10,125,117,064,315x = 13,973,859,409,086 × 6,014,459,660,793.80 - Step 4: Simplify right side
10,125,117,064,315x = 84,045,213,721,551,622,792,806,400 - Step 5: Solve for x
x = 84,045,213,721,551,622,792,806,400/10,125,117,064,315 - Step 6: Final answer
x = 8,300,665,877,509.79
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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.