Finding the Fourth Proportional to 32,102,355,034,770, 48,133,825,563,176 and 12,475,584,257,996
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Solution
The fourth proportional to 32,102,355,034,770, 48,133,825,563,176 and 12,475,584,257,996 is: 18,705,717,877,167.77
Step by Step Solution
- Step 1: Write the proportion equation
32,102,355,034,770 : 48,133,825,563,176 = 12,475,584,257,996 : x - Step 2: Convert to fraction form
32,102,355,034,770/48,133,825,563,176 = 12,475,584,257,996/x - Step 3: Cross multiply
32,102,355,034,770x = 48,133,825,563,176 × 12,475,584,257,996 - Step 4: Simplify right side
32,102,355,034,770x = 600,497,596,473,083,946,407,559,168 - Step 5: Solve for x
x = 600,497,596,473,083,946,407,559,168/32,102,355,034,770 - Step 6: Final answer
x = 18,705,717,877,167.77
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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.