Finding the Fourth Proportional to 4,129,056,009.20, 6,193,584,013.80 and 3,677,575,228.40
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Solution
The fourth proportional to 4,129,056,009.20, 6,193,584,013.80 and 3,677,575,228.40 is: 5,516,362,842.60
Step by Step Solution
- Step 1: Write the proportion equation
4,129,056,009.20 : 6,193,584,013.80 = 3,677,575,228.40 : x - Step 2: Convert to fraction form
4,129,056,009.20/6,193,584,013.80 = 3,677,575,228.40/x - Step 3: Cross multiply
4,129,056,009.20x = 6,193,584,013.80 × 3,677,575,228.40 - Step 4: Simplify right side
4,129,056,009.20x = 22,777,371,144,165,126,144 - Step 5: Solve for x
x = 22,777,371,144,165,126,144/4,129,056,009.20 - Step 6: Final answer
x = 5,516,362,842.60
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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.