Finding the Fourth Proportional to 2,556,055,602,560, 3,527,467,611,383.20 and 1,415,489,682,943.90
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Solution
The fourth proportional to 2,556,055,602,560, 3,527,467,611,383.20 and 1,415,489,682,943.90 is: 1,953,437,165,385.17
Step by Step Solution
- Step 1: Write the proportion equation
2,556,055,602,560 : 3,527,467,611,383.20 = 1,415,489,682,943.90 : x - Step 2: Convert to fraction form
2,556,055,602,560/3,527,467,611,383.20 = 1,415,489,682,943.90/x - Step 3: Cross multiply
2,556,055,602,560x = 3,527,467,611,383.20 × 1,415,489,682,943.90 - Step 4: Simplify right side
2,556,055,602,560x = 4,993,094,010,831,681,945,075,712 - Step 5: Solve for x
x = 4,993,094,010,831,681,945,075,712/2,556,055,602,560 - Step 6: Final answer
x = 1,953,437,165,385.17
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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.