Finding the Fourth Proportional to 120,319,447,062.18, 166,044,818,952.48 and 66,127,916,543.18
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Solution
The fourth proportional to 120,319,447,062.18, 166,044,818,952.48 and 66,127,916,543.18 is: 91,258,713,351.99
Step by Step Solution
- Step 1: Write the proportion equation
120,319,447,062.18 : 166,044,818,952.48 = 66,127,916,543.18 : x - Step 2: Convert to fraction form
120,319,447,062.18/166,044,818,952.48 = 66,127,916,543.18/x - Step 3: Cross multiply
120,319,447,062.18x = 166,044,818,952.48 × 66,127,916,543.18 - Step 4: Simplify right side
120,319,447,062.18x = 10,980,197,930,117,030,215,680 - Step 5: Solve for x
x = 10,980,197,930,117,030,215,680/120,319,447,062.18 - Step 6: Final answer
x = 91,258,713,351.99
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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.