Finding the Fourth Proportional to 180,548,669,476.05, 249,157,324,156.58 and 99,259,875,455.28
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Solution
The fourth proportional to 180,548,669,476.05, 249,157,324,156.58 and 99,259,875,455.28 is: 136,978,716,244.89
Step by Step Solution
- Step 1: Write the proportion equation
180,548,669,476.05 : 249,157,324,156.58 = 99,259,875,455.28 : x - Step 2: Convert to fraction form
180,548,669,476.05/249,157,324,156.58 = 99,259,875,455.28/x - Step 3: Cross multiply
180,548,669,476.05x = 249,157,324,156.58 × 99,259,875,455.28 - Step 4: Simplify right side
180,548,669,476.05x = 24,731,324,964,552,954,609,664 - Step 5: Solve for x
x = 24,731,324,964,552,954,609,664/180,548,669,476.05 - Step 6: Final answer
x = 136,978,716,244.89
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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.