Finding the Fourth Proportional to 7,829,765,321.56, 10,805,075,541.90 and 4,261,497,812.80
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Solution
The fourth proportional to 7,829,765,321.56, 10,805,075,541.90 and 4,261,497,812.80 is: 5,880,866,654.09
Step by Step Solution
- Step 1: Write the proportion equation
7,829,765,321.56 : 10,805,075,541.90 = 4,261,497,812.80 : x - Step 2: Convert to fraction form
7,829,765,321.56/10,805,075,541.90 = 4,261,497,812.80/x - Step 3: Cross multiply
7,829,765,321.56x = 10,805,075,541.90 × 4,261,497,812.80 - Step 4: Simplify right side
7,829,765,321.56x = 46,045,805,788,945,629,184 - Step 5: Solve for x
x = 46,045,805,788,945,629,184/7,829,765,321.56 - Step 6: Final answer
x = 5,880,866,654.09
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1.5x scale
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.