Finding the Fourth Proportional to 140,475,812,554.75, 193,851,430,381.29 and 76,245,157,813.09
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Solution
The fourth proportional to 140,475,812,554.75, 193,851,430,381.29 and 76,245,157,813.09 is: 105,215,500,326.47
Step by Step Solution
- Step 1: Write the proportion equation
140,475,812,554.75 : 193,851,430,381.29 = 76,245,157,813.09 : x - Step 2: Convert to fraction form
140,475,812,554.75/193,851,430,381.29 = 76,245,157,813.09/x - Step 3: Cross multiply
140,475,812,554.75x = 193,851,430,381.29 × 76,245,157,813.09 - Step 4: Simplify right side
140,475,812,554.75x = 14,780,232,901,714,685,984,768 - Step 5: Solve for x
x = 14,780,232,901,714,685,984,768/140,475,812,554.75 - Step 6: Final answer
x = 105,215,500,326.47
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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.