Finding the Fourth Proportional to 902,239,444,454.49, 1,353,915,829,190.40 and 418,103,424,808.79
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Solution
The fourth proportional to 902,239,444,454.49, 1,353,915,829,190.40 and 418,103,424,808.79 is: 627,413,098,115.66
Step by Step Solution
- Step 1: Write the proportion equation
902,239,444,454.49 : 1,353,915,829,190.40 = 418,103,424,808.79 : x - Step 2: Convert to fraction form
902,239,444,454.49/1,353,915,829,190.40 = 418,103,424,808.79/x - Step 3: Cross multiply
902,239,444,454.49x = 1,353,915,829,190.40 × 418,103,424,808.79 - Step 4: Simplify right side
902,239,444,454.49x = 566,076,845,087,338,920,935,424 - Step 5: Solve for x
x = 566,076,845,087,338,920,935,424/902,239,444,454.49 - Step 6: Final answer
x = 627,413,098,115.66
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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.