Finding the Fourth Proportional to 3,071,330,611,759, 4,238,504,730,414.80 and 1,752,916,318,749.70
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Solution
The fourth proportional to 3,071,330,611,759, 4,238,504,730,414.80 and 1,752,916,318,749.70 is: 2,419,063,607,348.60
Step by Step Solution
- Step 1: Write the proportion equation
3,071,330,611,759 : 4,238,504,730,414.80 = 1,752,916,318,749.70 : x - Step 2: Convert to fraction form
3,071,330,611,759/4,238,504,730,414.80 = 1,752,916,318,749.70/x - Step 3: Cross multiply
3,071,330,611,759x = 4,238,504,730,414.80 × 1,752,916,318,749.70 - Step 4: Simplify right side
3,071,330,611,759x = 7,429,744,109,041,900,152,946,688 - Step 5: Solve for x
x = 7,429,744,109,041,900,152,946,688/3,071,330,611,759 - Step 6: Final answer
x = 2,419,063,607,348.60
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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.