Finding the Fourth Proportional to 1,601,523,092,344.20, 2,210,285,211,582.20 and 897,779,030,326.44
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Solution
The fourth proportional to 1,601,523,092,344.20, 2,210,285,211,582.20 and 897,779,030,326.44 is: 1,239,037,840,593.72
Step by Step Solution
- Step 1: Write the proportion equation
1,601,523,092,344.20 : 2,210,285,211,582.20 = 897,779,030,326.44 : x - Step 2: Convert to fraction form
1,601,523,092,344.20/2,210,285,211,582.20 = 897,779,030,326.44/x - Step 3: Cross multiply
1,601,523,092,344.20x = 2,210,285,211,582.20 × 897,779,030,326.44 - Step 4: Simplify right side
1,601,523,092,344.20x = 1,984,347,713,999,137,815,920,640 - Step 5: Solve for x
x = 1,984,347,713,999,137,815,920,640/1,601,523,092,344.20 - Step 6: Final answer
x = 1,239,037,840,593.72
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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.