Finding the Fourth Proportional to 299,205,645,729.66, 412,904,189,292.06 and 162,028,708,732.80
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Solution
The fourth proportional to 299,205,645,729.66, 412,904,189,292.06 and 162,028,708,732.80 is: 223,599,833,680.29
Step by Step Solution
- Step 1: Write the proportion equation
299,205,645,729.66 : 412,904,189,292.06 = 162,028,708,732.80 : x - Step 2: Convert to fraction form
299,205,645,729.66/412,904,189,292.06 = 162,028,708,732.80/x - Step 3: Cross multiply
299,205,645,729.66x = 412,904,189,292.06 × 162,028,708,732.80 - Step 4: Simplify right side
299,205,645,729.66x = 66,902,332,621,356,097,601,536 - Step 5: Solve for x
x = 66,902,332,621,356,097,601,536/299,205,645,729.66 - Step 6: Final answer
x = 223,599,833,680.29
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.