Finding the Fourth Proportional to 1,350,682,975,418.40, 1,863,942,506,077.90 and 772,619,494,195.75
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Solution
The fourth proportional to 1,350,682,975,418.40, 1,863,942,506,077.90 and 772,619,494,195.75 is: 1,066,214,901,990.43
Step by Step Solution
- Step 1: Write the proportion equation
1,350,682,975,418.40 : 1,863,942,506,077.90 = 772,619,494,195.75 : x - Step 2: Convert to fraction form
1,350,682,975,418.40/1,863,942,506,077.90 = 772,619,494,195.75/x - Step 3: Cross multiply
1,350,682,975,418.40x = 1,863,942,506,077.90 × 772,619,494,195.75 - Step 4: Simplify right side
1,350,682,975,418.40x = 1,440,118,316,255,865,678,594,048 - Step 5: Solve for x
x = 1,440,118,316,255,865,678,594,048/1,350,682,975,418.40 - Step 6: Final answer
x = 1,066,214,901,990.43
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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.