Finding the Fourth Proportional to 147,776,548,465.73, 221,642,425,842.82 and 40,219,201,148.84
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Solution
The fourth proportional to 147,776,548,465.73, 221,642,425,842.82 and 40,219,201,148.84 is: 60,322,706,144.11
Step by Step Solution
- Step 1: Write the proportion equation
147,776,548,465.73 : 221,642,425,842.82 = 40,219,201,148.84 : x - Step 2: Convert to fraction form
147,776,548,465.73/221,642,425,842.82 = 40,219,201,148.84/x - Step 3: Cross multiply
147,776,548,465.73x = 221,642,425,842.82 × 40,219,201,148.84 - Step 4: Simplify right side
147,776,548,465.73x = 8,914,281,308,089,230,557,184 - Step 5: Solve for x
x = 8,914,281,308,089,230,557,184/147,776,548,465.73 - Step 6: Final answer
x = 60,322,706,144.11
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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.