Finding the Fourth Proportional to 293,239,702,281.23, 439,622,186,410.99 and 91,677,685,425.46
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Solution
The fourth proportional to 293,239,702,281.23, 439,622,186,410.99 and 91,677,685,425.46 is: 137,442,318,343.33
Step by Step Solution
- Step 1: Write the proportion equation
293,239,702,281.23 : 439,622,186,410.99 = 91,677,685,425.46 : x - Step 2: Convert to fraction form
293,239,702,281.23/439,622,186,410.99 = 91,677,685,425.46/x - Step 3: Cross multiply
293,239,702,281.23x = 439,622,186,410.99 × 91,677,685,425.46 - Step 4: Simplify right side
293,239,702,281.23x = 40,303,544,511,839,680,331,776 - Step 5: Solve for x
x = 40,303,544,511,839,680,331,776/293,239,702,281.23 - Step 6: Final answer
x = 137,442,318,343.33
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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.