Finding the Fourth Proportional to 191,190,164,154.08, 263,876,971,992.72 and 114,032,955,319.52
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Solution
The fourth proportional to 191,190,164,154.08, 263,876,971,992.72 and 114,032,955,319.52 is: 157,386,082,543.69
Step by Step Solution
- Step 1: Write the proportion equation
191,190,164,154.08 : 263,876,971,992.72 = 114,032,955,319.52 : x - Step 2: Convert to fraction form
191,190,164,154.08/263,876,971,992.72 = 114,032,955,319.52/x - Step 3: Cross multiply
191,190,164,154.08x = 263,876,971,992.72 × 114,032,955,319.52 - Step 4: Simplify right side
191,190,164,154.08x = 30,090,670,957,096,071,069,696 - Step 5: Solve for x
x = 30,090,670,957,096,071,069,696/191,190,164,154.08 - Step 6: Final answer
x = 157,386,082,543.69
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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.