Finding the Fourth Proportional to 36,527,701,345,932, 50,410,038,936,730 and 22,658,645,920,112
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Solution
The fourth proportional to 36,527,701,345,932, 50,410,038,936,730 and 22,658,645,920,112 is: 31,270,054,807,695.45
Step by Step Solution
- Step 1: Write the proportion equation
36,527,701,345,932 : 50,410,038,936,730 = 22,658,645,920,112 : x - Step 2: Convert to fraction form
36,527,701,345,932/50,410,038,936,730 = 22,658,645,920,112/x - Step 3: Cross multiply
36,527,701,345,932x = 50,410,038,936,730 × 22,658,645,920,112 - Step 4: Simplify right side
36,527,701,345,932x = 1,142,223,223,086,424,328,572,502,016 - Step 5: Solve for x
x = 1,142,223,223,086,424,328,572,502,016/36,527,701,345,932 - Step 6: Final answer
x = 31,270,054,807,695.45
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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.