Finding the Fourth Proportional to 35,819,142,866,902, 53,734,086,542,362 and 12,580,849,569,053
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Solution
The fourth proportional to 35,819,142,866,902, 53,734,086,542,362 and 12,580,849,569,053 is: 18,873,161,259,941.69
Step by Step Solution
- Step 1: Write the proportion equation
35,819,142,866,902 : 53,734,086,542,362 = 12,580,849,569,053 : x - Step 2: Convert to fraction form
35,819,142,866,902/53,734,086,542,362 = 12,580,849,569,053/x - Step 3: Cross multiply
35,819,142,866,902x = 53,734,086,542,362 × 12,580,849,569,053 - Step 4: Simplify right side
35,819,142,866,902x = 676,020,459,519,931,631,167,078,400 - Step 5: Solve for x
x = 676,020,459,519,931,631,167,078,400/35,819,142,866,902 - Step 6: Final answer
x = 18,873,161,259,941.69
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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.