Finding the Fourth Proportional to 6,163,441,445,216, 8,505,569,069,069.60 and 3,422,992,349,048.80
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Solution
The fourth proportional to 6,163,441,445,216, 8,505,569,069,069.60 and 3,422,992,349,048.80 is: 4,723,740,479,489.71
Step by Step Solution
- Step 1: Write the proportion equation
6,163,441,445,216 : 8,505,569,069,069.60 = 3,422,992,349,048.80 : x - Step 2: Convert to fraction form
6,163,441,445,216/8,505,569,069,069.60 = 3,422,992,349,048.80/x - Step 3: Cross multiply
6,163,441,445,216x = 8,505,569,069,069.60 × 3,422,992,349,048.80 - Step 4: Simplify right side
6,163,441,445,216x = 29,114,497,847,731,361,960,427,520 - Step 5: Solve for x
x = 29,114,497,847,731,361,960,427,520/6,163,441,445,216 - Step 6: Final answer
x = 4,723,740,479,489.71
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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.