Finding the Fourth Proportional to 17,488,767,688,096, 24,135,258,059,704 and 9,684,910,691,586
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Solution
The fourth proportional to 17,488,767,688,096, 24,135,258,059,704 and 9,684,910,691,586 is: 13,365,596,878,830.89
Step by Step Solution
- Step 1: Write the proportion equation
17,488,767,688,096 : 24,135,258,059,704 = 9,684,910,691,586 : x - Step 2: Convert to fraction form
17,488,767,688,096/24,135,258,059,704 = 9,684,910,691,586/x - Step 3: Cross multiply
17,488,767,688,096x = 24,135,258,059,704 × 9,684,910,691,586 - Step 4: Simplify right side
17,488,767,688,096x = 233,747,818,826,614,435,137,716,224 - Step 5: Solve for x
x = 233,747,818,826,614,435,137,716,224/17,488,767,688,096 - Step 6: Final answer
x = 13,365,596,878,830.89
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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.