Finding the Fourth Proportional to 10,660,026,241,808, 14,710,836,213,696 and 6,097,762,563,345
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Solution
The fourth proportional to 10,660,026,241,808, 14,710,836,213,696 and 6,097,762,563,345 is: 8,414,912,337,416.65
Step by Step Solution
- Step 1: Write the proportion equation
10,660,026,241,808 : 14,710,836,213,696 = 6,097,762,563,345 : x - Step 2: Convert to fraction form
10,660,026,241,808/14,710,836,213,696 = 6,097,762,563,345/x - Step 3: Cross multiply
10,660,026,241,808x = 14,710,836,213,696 × 6,097,762,563,345 - Step 4: Simplify right side
10,660,026,241,808x = 89,703,186,339,375,366,654,656,512 - Step 5: Solve for x
x = 89,703,186,339,375,366,654,656,512/10,660,026,241,808 - Step 6: Final answer
x = 8,414,912,337,416.65
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.