Finding the Fourth Proportional to 9,412,382,482.96, 12,988,668,838.26 and 5,395,172,807.02
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Solution
The fourth proportional to 9,412,382,482.96, 12,988,668,838.26 and 5,395,172,807.02 is: 7,445,098,309.85
Step by Step Solution
- Step 1: Write the proportion equation
9,412,382,482.96 : 12,988,668,838.26 = 5,395,172,807.02 : x - Step 2: Convert to fraction form
9,412,382,482.96/12,988,668,838.26 = 5,395,172,807.02/x - Step 3: Cross multiply
9,412,382,482.96x = 12,988,668,838.26 × 5,395,172,807.02 - Step 4: Simplify right side
9,412,382,482.96x = 70,076,112,915,568,410,624 - Step 5: Solve for x
x = 70,076,112,915,568,410,624/9,412,382,482.96 - Step 6: Final answer
x = 7,445,098,309.85
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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.