Finding the Fourth Proportional to 8,175,028,565.46, 11,281,543,963.80 and 4,415,839,170
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Solution
The fourth proportional to 8,175,028,565.46, 11,281,543,963.80 and 4,415,839,170 is: 6,093,860,508.81
Step by Step Solution
- Step 1: Write the proportion equation
8,175,028,565.46 : 11,281,543,963.80 = 4,415,839,170 : x - Step 2: Convert to fraction form
8,175,028,565.46/11,281,543,963.80 = 4,415,839,170/x - Step 3: Cross multiply
8,175,028,565.46x = 11,281,543,963.80 × 4,415,839,170 - Step 4: Simplify right side
8,175,028,565.46x = 49,817,483,733,425,094,656 - Step 5: Solve for x
x = 49,817,483,733,425,094,656/8,175,028,565.46 - Step 6: Final answer
x = 6,093,860,508.81
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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.