Finding the Fourth Proportional to 10,773,941,259,447, 14,867,920,491,516 and 5,835,440,151,670
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Solution
The fourth proportional to 10,773,941,259,447, 14,867,920,491,516 and 5,835,440,151,670 is: 8,052,843,255,661.38
Step by Step Solution
- Step 1: Write the proportion equation
10,773,941,259,447 : 14,867,920,491,516 = 5,835,440,151,670 : x - Step 2: Convert to fraction form
10,773,941,259,447/14,867,920,491,516 = 5,835,440,151,670/x - Step 3: Cross multiply
10,773,941,259,447x = 14,867,920,491,516 × 5,835,440,151,670 - Step 4: Simplify right side
10,773,941,259,447x = 86,760,860,208,029,630,069,735,424 - Step 5: Solve for x
x = 86,760,860,208,029,630,069,735,424/10,773,941,259,447 - Step 6: Final answer
x = 8,052,843,255,661.38
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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.