Finding the Fourth Proportional to 77,832,024,627.18, 116,717,853,895.28 and 26,770,612,359.12
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Solution
The fourth proportional to 77,832,024,627.18, 116,717,853,895.28 and 26,770,612,359.12 is: 40,145,536,968.70
Step by Step Solution
- Step 1: Write the proportion equation
77,832,024,627.18 : 116,717,853,895.28 = 26,770,612,359.12 : x - Step 2: Convert to fraction form
77,832,024,627.18/116,717,853,895.28 = 26,770,612,359.12/x - Step 3: Cross multiply
77,832,024,627.18x = 116,717,853,895.28 × 26,770,612,359.12 - Step 4: Simplify right side
77,832,024,627.18x = 3,124,608,422,018,945,122,304 - Step 5: Solve for x
x = 3,124,608,422,018,945,122,304/77,832,024,627.18 - Step 6: Final answer
x = 40,145,536,968.70
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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.