Finding the Fourth Proportional to 171,353,642,571.60, 257,031,559,149.42 and 50,341,702,677.84
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Solution
The fourth proportional to 171,353,642,571.60, 257,031,559,149.42 and 50,341,702,677.84 is: 75,512,875,800.79
Step by Step Solution
- Step 1: Write the proportion equation
171,353,642,571.60 : 257,031,559,149.42 = 50,341,702,677.84 : x - Step 2: Convert to fraction form
171,353,642,571.60/257,031,559,149.42 = 50,341,702,677.84/x - Step 3: Cross multiply
171,353,642,571.60x = 257,031,559,149.42 × 50,341,702,677.84 - Step 4: Simplify right side
171,353,642,571.60x = 12,939,406,329,522,776,178,688 - Step 5: Solve for x
x = 12,939,406,329,522,776,178,688/171,353,642,571.60 - Step 6: Final answer
x = 75,512,875,800.79
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1.5x scale
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.