Finding the Fourth Proportional to 107,212,033,476.80, 160,818,050,215.20 and 97,924,428,843.20
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Solution
The fourth proportional to 107,212,033,476.80, 160,818,050,215.20 and 97,924,428,843.20 is: 146,886,643,264.80
Step by Step Solution
- Step 1: Write the proportion equation
107,212,033,476.80 : 160,818,050,215.20 = 97,924,428,843.20 : x - Step 2: Convert to fraction form
107,212,033,476.80/160,818,050,215.20 = 97,924,428,843.20/x - Step 3: Cross multiply
107,212,033,476.80x = 160,818,050,215.20 × 97,924,428,843.20 - Step 4: Simplify right side
107,212,033,476.80x = 15,748,015,715,000,516,608,000 - Step 5: Solve for x
x = 15,748,015,715,000,516,608,000/107,212,033,476.80 - Step 6: Final answer
x = 146,886,643,264.80
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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.