Finding the Fourth Proportional to 206,695,577,723.70, 310,043,366,585.55 and 206,695,577,723.70
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Solution
The fourth proportional to 206,695,577,723.70, 310,043,366,585.55 and 206,695,577,723.70 is: 310,043,366,585.55
Step by Step Solution
- Step 1: Write the proportion equation
206,695,577,723.70 : 310,043,366,585.55 = 206,695,577,723.70 : x - Step 2: Convert to fraction form
206,695,577,723.70/310,043,366,585.55 = 206,695,577,723.70/x - Step 3: Cross multiply
206,695,577,723.70x = 310,043,366,585.55 × 206,695,577,723.70 - Step 4: Simplify right side
206,695,577,723.70x = 64,084,592,775,801,161,646,080 - Step 5: Solve for x
x = 64,084,592,775,801,161,646,080/206,695,577,723.70 - Step 6: Final answer
x = 310,043,366,585.55
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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.