Finding the Fourth Proportional to 4,270,461,097,759, 5,893,136,075,776.90 and 2,512,724,485,292.70
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Solution
The fourth proportional to 4,270,461,097,759, 5,893,136,075,776.90 and 2,512,724,485,292.70 is: 3,467,500,809,347.50
Step by Step Solution
- Step 1: Write the proportion equation
4,270,461,097,759 : 5,893,136,075,776.90 = 2,512,724,485,292.70 : x - Step 2: Convert to fraction form
4,270,461,097,759/5,893,136,075,776.90 = 2,512,724,485,292.70/x - Step 3: Cross multiply
4,270,461,097,759x = 5,893,136,075,776.90 × 2,512,724,485,292.70 - Step 4: Simplify right side
4,270,461,097,759x = 14,807,827,312,766,354,599,182,336 - Step 5: Solve for x
x = 14,807,827,312,766,354,599,182,336/4,270,461,097,759 - Step 6: Final answer
x = 3,467,500,809,347.50
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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.