Finding the Fourth Proportional to 1,559,741,458,432.10, 2,152,445,744,781.80 and 865,282,034,198.95
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Solution
The fourth proportional to 1,559,741,458,432.10, 2,152,445,744,781.80 and 865,282,034,198.95 is: 1,194,090,611,927.37
Step by Step Solution
- Step 1: Write the proportion equation
1,559,741,458,432.10 : 2,152,445,744,781.80 = 865,282,034,198.95 : x - Step 2: Convert to fraction form
1,559,741,458,432.10/2,152,445,744,781.80 = 865,282,034,198.95/x - Step 3: Cross multiply
1,559,741,458,432.10x = 2,152,445,744,781.80 × 865,282,034,198.95 - Step 4: Simplify right side
1,559,741,458,432.10x = 1,862,472,632,547,669,899,739,136 - Step 5: Solve for x
x = 1,862,472,632,547,669,899,739,136/1,559,741,458,432.10 - Step 6: Final answer
x = 1,194,090,611,927.37
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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.