Finding the Fourth Proportional to 10,660,026,241,802, 14,710,836,213,688 and 6,097,762,563,338
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Solution
The fourth proportional to 10,660,026,241,802, 14,710,836,213,688 and 6,097,762,563,338 is: 8,414,912,337,407.15
Step by Step Solution
- Step 1: Write the proportion equation
10,660,026,241,802 : 14,710,836,213,688 = 6,097,762,563,338 : x - Step 2: Convert to fraction form
10,660,026,241,802/14,710,836,213,688 = 6,097,762,563,338/x - Step 3: Cross multiply
10,660,026,241,802x = 14,710,836,213,688 × 6,097,762,563,338 - Step 4: Simplify right side
10,660,026,241,802x = 89,703,186,339,223,616,870,154,240 - Step 5: Solve for x
x = 89,703,186,339,223,616,870,154,240/10,660,026,241,802 - Step 6: Final answer
x = 8,414,912,337,407.15
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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.