Finding the Fourth Proportional to 11,474,860,683,842, 15,835,306,574,165 and 6,272,310,129,396.40
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Solution
The fourth proportional to 11,474,860,683,842, 15,835,306,574,165 and 6,272,310,129,396.40 is: 8,655,787,339,282.71
Step by Step Solution
- Step 1: Write the proportion equation
11,474,860,683,842 : 15,835,306,574,165 = 6,272,310,129,396.40 : x - Step 2: Convert to fraction form
11,474,860,683,842/15,835,306,574,165 = 6,272,310,129,396.40/x - Step 3: Cross multiply
11,474,860,683,842x = 15,835,306,574,165 × 6,272,310,129,396.40 - Step 4: Simplify right side
11,474,860,683,842x = 99,323,953,827,232,539,874,426,880 - Step 5: Solve for x
x = 99,323,953,827,232,539,874,426,880/11,474,860,683,842 - Step 6: Final answer
x = 8,655,787,339,282.71
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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.