Finding the Fourth Proportional to 11,787,425,809.48, 16,266,564,866.64 and 6,434,986,168
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Solution
The fourth proportional to 11,787,425,809.48, 16,266,564,866.64 and 6,434,986,168 is: 8,880,235,736.76
Step by Step Solution
- Step 1: Write the proportion equation
11,787,425,809.48 : 16,266,564,866.64 = 6,434,986,168 : x - Step 2: Convert to fraction form
11,787,425,809.48/16,266,564,866.64 = 6,434,986,168/x - Step 3: Cross multiply
11,787,425,809.48x = 16,266,564,866.64 × 6,434,986,168 - Step 4: Simplify right side
11,787,425,809.48x = 104,675,119,917,703,168,000 - Step 5: Solve for x
x = 104,675,119,917,703,168,000/11,787,425,809.48 - Step 6: Final answer
x = 8,880,235,736.76
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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.