Finding the Fourth Proportional to 412,921,030,702.68, 619,381,546,053.99 and 412,921,030,702.68
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Solution
The fourth proportional to 412,921,030,702.68, 619,381,546,053.99 and 412,921,030,702.68 is: 619,381,546,053.99
Step by Step Solution
- Step 1: Write the proportion equation
412,921,030,702.68 : 619,381,546,053.99 = 412,921,030,702.68 : x - Step 2: Convert to fraction form
412,921,030,702.68/619,381,546,053.99 = 412,921,030,702.68/x - Step 3: Cross multiply
412,921,030,702.68x = 619,381,546,053.99 × 412,921,030,702.68 - Step 4: Simplify right side
412,921,030,702.68x = 255,755,666,394,832,992,993,280 - Step 5: Solve for x
x = 255,755,666,394,832,992,993,280/412,921,030,702.68 - Step 6: Final answer
x = 619,381,546,053.99
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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.