Finding the Fourth Proportional to 3,146,218,477,481, 4,341,735,292,114.40 and 1,757,319,862,206
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Solution
The fourth proportional to 3,146,218,477,481, 4,341,735,292,114.40 and 1,757,319,862,206 is: 2,425,075,601,037.78
Step by Step Solution
- Step 1: Write the proportion equation
3,146,218,477,481 : 4,341,735,292,114.40 = 1,757,319,862,206 : x - Step 2: Convert to fraction form
3,146,218,477,481/4,341,735,292,114.40 = 1,757,319,862,206/x - Step 3: Cross multiply
3,146,218,477,481x = 4,341,735,292,114.40 × 1,757,319,862,206 - Step 4: Simplify right side
3,146,218,477,481x = 7,629,817,665,273,404,130,852,864 - Step 5: Solve for x
x = 7,629,817,665,273,404,130,852,864/3,146,218,477,481 - Step 6: Final answer
x = 2,425,075,601,037.78
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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.