Finding the Fourth Proportional to 35,819,142,866,925, 53,734,086,542,394 and 12,580,849,569,075
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Solution
The fourth proportional to 35,819,142,866,925, 53,734,086,542,394 and 12,580,849,569,075 is: 18,873,161,259,973.82
Step by Step Solution
- Step 1: Write the proportion equation
35,819,142,866,925 : 53,734,086,542,394 = 12,580,849,569,075 : x - Step 2: Convert to fraction form
35,819,142,866,925/53,734,086,542,394 = 12,580,849,569,075/x - Step 3: Cross multiply
35,819,142,866,925x = 53,734,086,542,394 × 12,580,849,569,075 - Step 4: Simplify right side
35,819,142,866,925x = 676,020,459,521,516,302,300,610,560 - Step 5: Solve for x
x = 676,020,459,521,516,302,300,610,560/35,819,142,866,925 - Step 6: Final answer
x = 18,873,161,259,973.82
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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.