Finding the Fourth Proportional to 4,165,695,828.68, 5,748,280,281.62 and 2,471,858,587.40
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Solution
The fourth proportional to 4,165,695,828.68, 5,748,280,281.62 and 2,471,858,587.40 is: 3,410,939,387.14
Step by Step Solution
- Step 1: Write the proportion equation
4,165,695,828.68 : 5,748,280,281.62 = 2,471,858,587.40 : x - Step 2: Convert to fraction form
4,165,695,828.68/5,748,280,281.62 = 2,471,858,587.40/x - Step 3: Cross multiply
4,165,695,828.68x = 5,748,280,281.62 × 2,471,858,587.40 - Step 4: Simplify right side
4,165,695,828.68x = 14,208,935,976,904,486,912 - Step 5: Solve for x
x = 14,208,935,976,904,486,912/4,165,695,828.68 - Step 6: Final answer
x = 3,410,939,387.14
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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.