Finding the Fourth Proportional to 6,468,924,090,528.80, 9,703,982,646,607.20 and 2,112,534,905,201
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Solution
The fourth proportional to 6,468,924,090,528.80, 9,703,982,646,607.20 and 2,112,534,905,201 is: 3,168,997,158,343.02
Step by Step Solution
- Step 1: Write the proportion equation
6,468,924,090,528.80 : 9,703,982,646,607.20 = 2,112,534,905,201 : x - Step 2: Convert to fraction form
6,468,924,090,528.80/9,703,982,646,607.20 = 2,112,534,905,201/x - Step 3: Cross multiply
6,468,924,090,528.80x = 9,703,982,646,607.20 × 2,112,534,905,201 - Step 4: Simplify right side
6,468,924,090,528.80x = 20,500,002,060,422,490,265,485,312 - Step 5: Solve for x
x = 20,500,002,060,422,490,265,485,312/6,468,924,090,528.80 - Step 6: Final answer
x = 3,168,997,158,343.02
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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.