Finding the Fourth Proportional to 2,350,009,168,702.10, 3,526,623,929,794.50 and 820,185,469,583.75
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Solution
The fourth proportional to 2,350,009,168,702.10, 3,526,623,929,794.50 and 820,185,469,583.75 is: 1,230,840,178,168.88
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,168,702.10 : 3,526,623,929,794.50 = 820,185,469,583.75 : x - Step 2: Convert to fraction form
2,350,009,168,702.10/3,526,623,929,794.50 = 820,185,469,583.75/x - Step 3: Cross multiply
2,350,009,168,702.10x = 3,526,623,929,794.50 × 820,185,469,583.75 - Step 4: Simplify right side
2,350,009,168,702.10x = 2,892,485,703,903,791,762,374,656 - Step 5: Solve for x
x = 2,892,485,703,903,791,762,374,656/2,350,009,168,702.10 - Step 6: Final answer
x = 1,230,840,178,168.88
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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.