Finding the Fourth Proportional to 26,233,151,532,110, 36,202,887,089,526 and 14,527,366,037,349
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Solution
The fourth proportional to 26,233,151,532,110, 36,202,887,089,526 and 14,527,366,037,349 is: 20,048,395,318,214.30
Step by Step Solution
- Step 1: Write the proportion equation
26,233,151,532,110 : 36,202,887,089,526 = 14,527,366,037,349 : x - Step 2: Convert to fraction form
26,233,151,532,110/36,202,887,089,526 = 14,527,366,037,349/x - Step 3: Cross multiply
26,233,151,532,110x = 36,202,887,089,526 × 14,527,366,037,349 - Step 4: Simplify right side
26,233,151,532,110x = 525,932,592,358,360,574,578,393,088 - Step 5: Solve for x
x = 525,932,592,358,360,574,578,393,088/26,233,151,532,110 - Step 6: Final answer
x = 20,048,395,318,214.30
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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.