Finding the Fourth Proportional to 3,177,772,088,680.90, 4,767,415,720,786.10 and 1,028,884,577,266
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Solution
The fourth proportional to 3,177,772,088,680.90, 4,767,415,720,786.10 and 1,028,884,577,266 is: 1,543,572,154,215.88
Step by Step Solution
- Step 1: Write the proportion equation
3,177,772,088,680.90 : 4,767,415,720,786.10 = 1,028,884,577,266 : x - Step 2: Convert to fraction form
3,177,772,088,680.90/4,767,415,720,786.10 = 1,028,884,577,266/x - Step 3: Cross multiply
3,177,772,088,680.90x = 4,767,415,720,786.10 × 1,028,884,577,266 - Step 4: Simplify right side
3,177,772,088,680.90x = 4,905,120,508,532,288,309,428,224 - Step 5: Solve for x
x = 4,905,120,508,532,288,309,428,224/3,177,772,088,680.90 - Step 6: Final answer
x = 1,543,572,154,215.88
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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.