Finding the Fourth Proportional to 42,210,075,575,036, 63,278,851,168,044 and 14,669,670,915,147
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Solution
The fourth proportional to 42,210,075,575,036, 63,278,851,168,044 and 14,669,670,915,147 is: 21,991,903,825,748.58
Step by Step Solution
- Step 1: Write the proportion equation
42,210,075,575,036 : 63,278,851,168,044 = 14,669,670,915,147 : x - Step 2: Convert to fraction form
42,210,075,575,036/63,278,851,168,044 = 14,669,670,915,147/x - Step 3: Cross multiply
42,210,075,575,036x = 63,278,851,168,044 × 14,669,670,915,147 - Step 4: Simplify right side
42,210,075,575,036x = 928,279,922,523,770,823,148,306,432 - Step 5: Solve for x
x = 928,279,922,523,770,823,148,306,432/42,210,075,575,036 - Step 6: Final answer
x = 21,991,903,825,748.58
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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.