Finding the Fourth Proportional to 255,479,497,302.21, 352,485,165,696.86 and 147,089,807,741.79
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Solution
The fourth proportional to 255,479,497,302.21, 352,485,165,696.86 and 147,089,807,741.79 is: 202,939,867,197.46
Step by Step Solution
- Step 1: Write the proportion equation
255,479,497,302.21 : 352,485,165,696.86 = 147,089,807,741.79 : x - Step 2: Convert to fraction form
255,479,497,302.21/352,485,165,696.86 = 147,089,807,741.79/x - Step 3: Cross multiply
255,479,497,302.21x = 352,485,165,696.86 × 147,089,807,741.79 - Step 4: Simplify right side
255,479,497,302.21x = 51,846,975,254,184,127,889,408 - Step 5: Solve for x
x = 51,846,975,254,184,127,889,408/255,479,497,302.21 - Step 6: Final answer
x = 202,939,867,197.46
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.