Finding the Fourth Proportional to 1,612,675,777,466, 2,225,493,465,676.40 and 871,082,609,551
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Solution
The fourth proportional to 1,612,675,777,466, 2,225,493,465,676.40 and 871,082,609,551 is: 1,202,094,483,409.56
Step by Step Solution
- Step 1: Write the proportion equation
1,612,675,777,466 : 2,225,493,465,676.40 = 871,082,609,551 : x - Step 2: Convert to fraction form
1,612,675,777,466/2,225,493,465,676.40 = 871,082,609,551/x - Step 3: Cross multiply
1,612,675,777,466x = 2,225,493,465,676.40 × 871,082,609,551 - Step 4: Simplify right side
1,612,675,777,466x = 1,938,588,655,620,097,298,137,088 - Step 5: Solve for x
x = 1,938,588,655,620,097,298,137,088/1,612,675,777,466 - Step 6: Final answer
x = 1,202,094,483,409.56
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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.