Finding the Fourth Proportional to 65,294,311,720,224, 97,941,833,723,025 and 21,779,207,051,194
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Solution
The fourth proportional to 65,294,311,720,224, 97,941,833,723,025 and 21,779,207,051,194 is: 32,668,932,705,307.62
Step by Step Solution
- Step 1: Write the proportion equation
65,294,311,720,224 : 97,941,833,723,025 = 21,779,207,051,194 : x - Step 2: Convert to fraction form
65,294,311,720,224/97,941,833,723,025 = 21,779,207,051,194/x - Step 3: Cross multiply
65,294,311,720,224x = 97,941,833,723,025 × 21,779,207,051,194 - Step 4: Simplify right side
65,294,311,720,224x = 2,133,095,475,627,376,440,007,196,672 - Step 5: Solve for x
x = 2,133,095,475,627,376,440,007,196,672/65,294,311,720,224 - Step 6: Final answer
x = 32,668,932,705,307.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.