Finding the Fourth Proportional to 10,125,117,064,316, 13,973,859,409,087 and 6,014,459,660,794.80
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Solution
The fourth proportional to 10,125,117,064,316, 13,973,859,409,087 and 6,014,459,660,794.80 is: 8,300,665,877,510.95
Step by Step Solution
- Step 1: Write the proportion equation
10,125,117,064,316 : 13,973,859,409,087 = 6,014,459,660,794.80 : x - Step 2: Convert to fraction form
10,125,117,064,316/13,973,859,409,087 = 6,014,459,660,794.80/x - Step 3: Cross multiply
10,125,117,064,316x = 13,973,859,409,087 × 6,014,459,660,794.80 - Step 4: Simplify right side
10,125,117,064,316x = 84,045,213,721,571,620,160,536,576 - Step 5: Solve for x
x = 84,045,213,721,571,620,160,536,576/10,125,117,064,316 - Step 6: Final answer
x = 8,300,665,877,510.95
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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.