Finding the Fourth Proportional to 555,196,633,793.75, 832,852,012,503.40 and 192,161,705,034
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Solution
The fourth proportional to 555,196,633,793.75, 832,852,012,503.40 and 192,161,705,034 is: 288,262,307,482.05
Step by Step Solution
- Step 1: Write the proportion equation
555,196,633,793.75 : 832,852,012,503.40 = 192,161,705,034 : x - Step 2: Convert to fraction form
555,196,633,793.75/832,852,012,503.40 = 192,161,705,034/x - Step 3: Cross multiply
555,196,633,793.75x = 832,852,012,503.40 × 192,161,705,034 - Step 4: Simplify right side
555,196,633,793.75x = 160,042,262,763,651,635,085,312 - Step 5: Solve for x
x = 160,042,262,763,651,635,085,312/555,196,633,793.75 - Step 6: Final answer
x = 288,262,307,482.05
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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.