Finding the Fourth Proportional to 264,143,342,246.20, 396,421,637,630.10 and 122,670,293,679.70
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Solution
The fourth proportional to 264,143,342,246.20, 396,421,637,630.10 and 122,670,293,679.70 is: 184,101,398,488.96
Step by Step Solution
- Step 1: Write the proportion equation
264,143,342,246.20 : 396,421,637,630.10 = 122,670,293,679.70 : x - Step 2: Convert to fraction form
264,143,342,246.20/396,421,637,630.10 = 122,670,293,679.70/x - Step 3: Cross multiply
264,143,342,246.20x = 396,421,637,630.10 × 122,670,293,679.70 - Step 4: Simplify right side
264,143,342,246.20x = 48,629,158,709,071,976,595,456 - Step 5: Solve for x
x = 48,629,158,709,071,976,595,456/264,143,342,246.20 - Step 6: Final answer
x = 184,101,398,488.96
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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.