Finding the Fourth Proportional to 1,537,562,011,194.10, 2,304,728,550,903 and 517,325,346,213.95
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Solution
The fourth proportional to 1,537,562,011,194.10, 2,304,728,550,903 and 517,325,346,213.95 is: 775,444,819,034.72
Step by Step Solution
- Step 1: Write the proportion equation
1,537,562,011,194.10 : 2,304,728,550,903 = 517,325,346,213.95 : x - Step 2: Convert to fraction form
1,537,562,011,194.10/2,304,728,550,903 = 517,325,346,213.95/x - Step 3: Cross multiply
1,537,562,011,194.10x = 2,304,728,550,903 × 517,325,346,213.95 - Step 4: Simplify right side
1,537,562,011,194.10x = 1,192,294,495,525,069,790,380,032 - Step 5: Solve for x
x = 1,192,294,495,525,069,790,380,032/1,537,562,011,194.10 - Step 6: Final answer
x = 775,444,819,034.72
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.