Finding the Fourth Proportional to 5,095,212,584,548, 7,643,892,266,146.50 and 1,652,840,471,812.60
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Solution
The fourth proportional to 5,095,212,584,548, 7,643,892,266,146.50 and 1,652,840,471,812.60 is: 2,479,608,905,421.76
Step by Step Solution
- Step 1: Write the proportion equation
5,095,212,584,548 : 7,643,892,266,146.50 = 1,652,840,471,812.60 : x - Step 2: Convert to fraction form
5,095,212,584,548/7,643,892,266,146.50 = 1,652,840,471,812.60/x - Step 3: Cross multiply
5,095,212,584,548x = 7,643,892,266,146.50 × 1,652,840,471,812.60 - Step 4: Simplify right side
5,095,212,584,548x = 12,634,134,499,662,265,946,472,448 - Step 5: Solve for x
x = 12,634,134,499,662,265,946,472,448/5,095,212,584,548 - Step 6: Final answer
x = 2,479,608,905,421.76
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.