Finding the Fourth Proportional to 335,898,765,598.86, 504,206,701,204.42 and 144,765,128,407.23
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Solution
The fourth proportional to 335,898,765,598.86, 504,206,701,204.42 and 144,765,128,407.23 is: 217,302,221,142.46
Step by Step Solution
- Step 1: Write the proportion equation
335,898,765,598.86 : 504,206,701,204.42 = 144,765,128,407.23 : x - Step 2: Convert to fraction form
335,898,765,598.86/504,206,701,204.42 = 144,765,128,407.23/x - Step 3: Cross multiply
335,898,765,598.86x = 504,206,701,204.42 × 144,765,128,407.23 - Step 4: Simplify right side
335,898,765,598.86x = 72,991,547,843,643,711,684,608 - Step 5: Solve for x
x = 72,991,547,843,643,711,684,608/335,898,765,598.86 - Step 6: Final answer
x = 217,302,221,142.46
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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.