Finding the Fourth Proportional to 778,396,656,722.96, 1,167,169,343,601.70 and 618,077,902,365.20
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Solution
The fourth proportional to 778,396,656,722.96, 1,167,169,343,601.70 and 618,077,902,365.20 is: 926,778,877,282.69
Step by Step Solution
- Step 1: Write the proportion equation
778,396,656,722.96 : 1,167,169,343,601.70 = 618,077,902,365.20 : x - Step 2: Convert to fraction form
778,396,656,722.96/1,167,169,343,601.70 = 618,077,902,365.20/x - Step 3: Cross multiply
778,396,656,722.96x = 1,167,169,343,601.70 × 618,077,902,365.20 - Step 4: Simplify right side
778,396,656,722.96x = 721,401,579,598,305,969,569,792 - Step 5: Solve for x
x = 721,401,579,598,305,969,569,792/778,396,656,722.96 - Step 6: Final answer
x = 926,778,877,282.69
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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.