Finding the Fourth Proportional to 35,819,142,867,024, 53,734,086,542,544 and 12,580,849,569,173
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Solution
The fourth proportional to 35,819,142,867,024, 53,734,086,542,544 and 12,580,849,569,173 is: 18,873,161,260,121.35
Step by Step Solution
- Step 1: Write the proportion equation
35,819,142,867,024 : 53,734,086,542,544 = 12,580,849,569,173 : x - Step 2: Convert to fraction form
35,819,142,867,024/53,734,086,542,544 = 12,580,849,569,173/x - Step 3: Cross multiply
35,819,142,867,024x = 53,734,086,542,544 × 12,580,849,569,173 - Step 4: Simplify right side
35,819,142,867,024x = 676,020,459,528,669,312,634,060,800 - Step 5: Solve for x
x = 676,020,459,528,669,312,634,060,800/35,819,142,867,024 - Step 6: Final answer
x = 18,873,161,260,121.35
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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.