Finding the Fourth Proportional to 102,232,465,450.14, 153,348,698,185.76 and 34,163,527,684.07
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Solution
The fourth proportional to 102,232,465,450.14, 153,348,698,185.76 and 34,163,527,684.07 is: 51,245,291,529.62
Step by Step Solution
- Step 1: Write the proportion equation
102,232,465,450.14 : 153,348,698,185.76 = 34,163,527,684.07 : x - Step 2: Convert to fraction form
102,232,465,450.14/153,348,698,185.76 = 34,163,527,684.07/x - Step 3: Cross multiply
102,232,465,450.14x = 153,348,698,185.76 × 34,163,527,684.07 - Step 4: Simplify right side
102,232,465,450.14x = 5,238,932,495,784,540,635,136 - Step 5: Solve for x
x = 5,238,932,495,784,540,635,136/102,232,465,450.14 - Step 6: Final answer
x = 51,245,291,529.62
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1.5x scale
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.