Finding the Fourth Proportional to 3,146,218,477,464, 4,341,735,292,090.50 and 1,757,319,862,188.60
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Solution
The fourth proportional to 3,146,218,477,464, 4,341,735,292,090.50 and 1,757,319,862,188.60 is: 2,425,075,601,013.52
Step by Step Solution
- Step 1: Write the proportion equation
3,146,218,477,464 : 4,341,735,292,090.50 = 1,757,319,862,188.60 : x - Step 2: Convert to fraction form
3,146,218,477,464/4,341,735,292,090.50 = 1,757,319,862,188.60/x - Step 3: Cross multiply
3,146,218,477,464x = 4,341,735,292,090.50 × 1,757,319,862,188.60 - Step 4: Simplify right side
3,146,218,477,464x = 7,629,817,665,155,858,392,154,112 - Step 5: Solve for x
x = 7,629,817,665,155,858,392,154,112/3,146,218,477,464 - Step 6: Final answer
x = 2,425,075,601,013.52
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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.