Finding the Fourth Proportional to 4,654,843,178.40, 6,423,819,644.16 and 2,540,434,824.36
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Solution
The fourth proportional to 4,654,843,178.40, 6,423,819,644.16 and 2,540,434,824.36 is: 3,505,874,312.84
Step by Step Solution
- Step 1: Write the proportion equation
4,654,843,178.40 : 6,423,819,644.16 = 2,540,434,824.36 : x - Step 2: Convert to fraction form
4,654,843,178.40/6,423,819,644.16 = 2,540,434,824.36/x - Step 3: Cross multiply
4,654,843,178.40x = 6,423,819,644.16 × 2,540,434,824.36 - Step 4: Simplify right side
4,654,843,178.40x = 16,319,295,129,431,926,784 - Step 5: Solve for x
x = 16,319,295,129,431,926,784/4,654,843,178.40 - Step 6: Final answer
x = 3,505,874,312.84
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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.