Finding the Fourth Proportional to 10,660,026,242,343, 14,710,836,214,433 and 6,097,762,563,878
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Solution
The fourth proportional to 10,660,026,242,343, 14,710,836,214,433 and 6,097,762,563,878 is: 8,414,912,338,151.45
Step by Step Solution
- Step 1: Write the proportion equation
10,660,026,242,343 : 14,710,836,214,433 = 6,097,762,563,878 : x - Step 2: Convert to fraction form
10,660,026,242,343/14,710,836,214,433 = 6,097,762,563,878/x - Step 3: Cross multiply
10,660,026,242,343x = 14,710,836,214,433 × 6,097,762,563,878 - Step 4: Simplify right side
10,660,026,242,343x = 89,703,186,351,710,306,570,338,304 - Step 5: Solve for x
x = 89,703,186,351,710,306,570,338,304/10,660,026,242,343 - Step 6: Final answer
x = 8,414,912,338,151.45
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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.