Finding the Fourth Proportional to 16,420,932,324,564, 22,660,909,048,206 and 8,912,301,653,544.50
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Solution
The fourth proportional to 16,420,932,324,564, 22,660,909,048,206 and 8,912,301,653,544.50 is: 12,298,988,461,150.62
Step by Step Solution
- Step 1: Write the proportion equation
16,420,932,324,564 : 22,660,909,048,206 = 8,912,301,653,544.50 : x - Step 2: Convert to fraction form
16,420,932,324,564/22,660,909,048,206 = 8,912,301,653,544.50/x - Step 3: Cross multiply
16,420,932,324,564x = 22,660,909,048,206 × 8,912,301,653,544.50 - Step 4: Simplify right side
16,420,932,324,564x = 201,960,857,181,147,866,612,105,216 - Step 5: Solve for x
x = 201,960,857,181,147,866,612,105,216/16,420,932,324,564 - Step 6: Final answer
x = 12,298,988,461,150.62
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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.