Finding the Fourth Proportional to 6,450,590,284,970.40, 9,677,411,455,575.60 and 2,094,169,846,770
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Solution
The fourth proportional to 6,450,590,284,970.40, 9,677,411,455,575.60 and 2,094,169,846,770 is: 3,141,750,191,803.72
Step by Step Solution
- Step 1: Write the proportion equation
6,450,590,284,970.40 : 9,677,411,455,575.60 = 2,094,169,846,770 : x - Step 2: Convert to fraction form
6,450,590,284,970.40/9,677,411,455,575.60 = 2,094,169,846,770/x - Step 3: Cross multiply
6,450,590,284,970.40x = 9,677,411,455,575.60 × 2,094,169,846,770 - Step 4: Simplify right side
6,450,590,284,970.40x = 20,266,143,265,052,995,725,819,904 - Step 5: Solve for x
x = 20,266,143,265,052,995,725,819,904/6,450,590,284,970.40 - Step 6: Final answer
x = 3,141,750,191,803.72
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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.