Finding the Fourth Proportional to 140,537,455,349.17, 193,941,688,381.93 and 80,390,424,431.92
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Solution
The fourth proportional to 140,537,455,349.17, 193,941,688,381.93 and 80,390,424,431.92 is: 110,938,785,716.09
Step by Step Solution
- Step 1: Write the proportion equation
140,537,455,349.17 : 193,941,688,381.93 = 80,390,424,431.92 : x - Step 2: Convert to fraction form
140,537,455,349.17/193,941,688,381.93 = 80,390,424,431.92/x - Step 3: Cross multiply
140,537,455,349.17x = 193,941,688,381.93 × 80,390,424,431.92 - Step 4: Simplify right side
140,537,455,349.17x = 15,591,054,644,066,520,137,728 - Step 5: Solve for x
x = 15,591,054,644,066,520,137,728/140,537,455,349.17 - Step 6: Final answer
x = 110,938,785,716.09
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1.5x scale
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.