Finding the Fourth Proportional to 106,158,316,361.02, 146,497,486,503.63 and 57,986,341,156.15
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Solution
The fourth proportional to 106,158,316,361.02, 146,497,486,503.63 and 57,986,341,156.15 is: 80,020,609,991.86
Step by Step Solution
- Step 1: Write the proportion equation
106,158,316,361.02 : 146,497,486,503.63 = 57,986,341,156.15 : x - Step 2: Convert to fraction form
106,158,316,361.02/146,497,486,503.63 = 57,986,341,156.15/x - Step 3: Cross multiply
106,158,316,361.02x = 146,497,486,503.63 × 57,986,341,156.15 - Step 4: Simplify right side
106,158,316,361.02x = 8,494,853,230,917,969,772,544 - Step 5: Solve for x
x = 8,494,853,230,917,969,772,544/106,158,316,361.02 - Step 6: Final answer
x = 80,020,609,991.86
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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.