Finding the Fourth Proportional to 10,660,026,241,844, 14,710,836,213,746 and 6,097,762,563,380.60
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Solution
The fourth proportional to 10,660,026,241,844, 14,710,836,213,746 and 6,097,762,563,380.60 is: 8,414,912,337,465.96
Step by Step Solution
- Step 1: Write the proportion equation
10,660,026,241,844 : 14,710,836,213,746 = 6,097,762,563,380.60 : x - Step 2: Convert to fraction form
10,660,026,241,844/14,710,836,213,746 = 6,097,762,563,380.60/x - Step 3: Cross multiply
10,660,026,241,844x = 14,710,836,213,746 × 6,097,762,563,380.60 - Step 4: Simplify right side
10,660,026,241,844x = 89,703,186,340,203,968,925,270,016 - Step 5: Solve for x
x = 89,703,186,340,203,968,925,270,016/10,660,026,241,844 - Step 6: Final answer
x = 8,414,912,337,465.96
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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.