Finding the Fourth Proportional to 272,778,143,261.34, 409,162,713,364.98 and 81,550,628,580.96
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Solution
The fourth proportional to 272,778,143,261.34, 409,162,713,364.98 and 81,550,628,580.96 is: 122,324,597,080.48
Step by Step Solution
- Step 1: Write the proportion equation
272,778,143,261.34 : 409,162,713,364.98 = 81,550,628,580.96 : x - Step 2: Convert to fraction form
272,778,143,261.34/409,162,713,364.98 = 81,550,628,580.96/x - Step 3: Cross multiply
272,778,143,261.34x = 409,162,713,364.98 × 81,550,628,580.96 - Step 4: Simplify right side
272,778,143,261.34x = 33,367,476,466,805,284,798,464 - Step 5: Solve for x
x = 33,367,476,466,805,284,798,464/272,778,143,261.34 - Step 6: Final answer
x = 122,324,597,080.48
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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.