Finding the Fourth Proportional to 364,571,452,774, 546,645,205,163.48 and 137,948,411,391.49
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Solution
The fourth proportional to 364,571,452,774, 546,645,205,163.48 and 137,948,411,391.49 is: 206,842,409,281.63
Step by Step Solution
- Step 1: Write the proportion equation
364,571,452,774 : 546,645,205,163.48 = 137,948,411,391.49 : x - Step 2: Convert to fraction form
364,571,452,774/546,645,205,163.48 = 137,948,411,391.49/x - Step 3: Cross multiply
364,571,452,774x = 546,645,205,163.48 × 137,948,411,391.49 - Step 4: Simplify right side
364,571,452,774x = 75,408,837,647,077,184,897,024 - Step 5: Solve for x
x = 75,408,837,647,077,184,897,024/364,571,452,774 - Step 6: Final answer
x = 206,842,409,281.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.