Finding the Fourth Proportional to 4,036,109,728,270.10, 6,054,180,299,263.80 and 976,457,421,056.48
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Solution
The fourth proportional to 4,036,109,728,270.10, 6,054,180,299,263.80 and 976,457,421,056.48 is: 1,464,689,931,550.46
Step by Step Solution
- Step 1: Write the proportion equation
4,036,109,728,270.10 : 6,054,180,299,263.80 = 976,457,421,056.48 : x - Step 2: Convert to fraction form
4,036,109,728,270.10/6,054,180,299,263.80 = 976,457,421,056.48/x - Step 3: Cross multiply
4,036,109,728,270.10x = 6,054,180,299,263.80 × 976,457,421,056.48 - Step 4: Simplify right side
4,036,109,728,270.10x = 5,911,649,281,630,077,695,557,632 - Step 5: Solve for x
x = 5,911,649,281,630,077,695,557,632/4,036,109,728,270.10 - Step 6: Final answer
x = 1,464,689,931,550.46
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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.