Finding the Fourth Proportional to 45,896,824,738,688, 68,857,312,276,516 and 16,494,014,053,962
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Solution
The fourth proportional to 45,896,824,738,688, 68,857,312,276,516 and 16,494,014,053,962 is: 24,745,360,553,222.68
Step by Step Solution
- Step 1: Write the proportion equation
45,896,824,738,688 : 68,857,312,276,516 = 16,494,014,053,962 : x - Step 2: Convert to fraction form
45,896,824,738,688/68,857,312,276,516 = 16,494,014,053,962/x - Step 3: Cross multiply
45,896,824,738,688x = 68,857,312,276,516 × 16,494,014,053,962 - Step 4: Simplify right side
45,896,824,738,688x = 1,135,733,476,406,905,036,316,082,176 - Step 5: Solve for x
x = 1,135,733,476,406,905,036,316,082,176/45,896,824,738,688 - Step 6: Final answer
x = 24,745,360,553,222.68
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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.