Finding the Fourth Proportional to 162,598,972,772.75, 224,392,638,128.14 and 97,503,998,165.84
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Solution
The fourth proportional to 162,598,972,772.75, 224,392,638,128.14 and 97,503,998,165.84 is: 134,559,148,827.17
Step by Step Solution
- Step 1: Write the proportion equation
162,598,972,772.75 : 224,392,638,128.14 = 97,503,998,165.84 : x - Step 2: Convert to fraction form
162,598,972,772.75/224,392,638,128.14 = 97,503,998,165.84/x - Step 3: Cross multiply
162,598,972,772.75x = 224,392,638,128.14 × 97,503,998,165.84 - Step 4: Simplify right side
162,598,972,772.75x = 21,879,179,376,473,042,583,552 - Step 5: Solve for x
x = 21,879,179,376,473,042,583,552/162,598,972,772.75 - Step 6: Final answer
x = 134,559,148,827.17
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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.