Finding the Fourth Proportional to 10,297,930,911,968, 14,201,598,865,054 and 7,515,686,167,034.20
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Solution
The fourth proportional to 10,297,930,911,968, 14,201,598,865,054 and 7,515,686,167,034.20 is: 10,364,680,152,962.62
Step by Step Solution
- Step 1: Write the proportion equation
10,297,930,911,968 : 14,201,598,865,054 = 7,515,686,167,034.20 : x - Step 2: Convert to fraction form
10,297,930,911,968/14,201,598,865,054 = 7,515,686,167,034.20/x - Step 3: Cross multiply
10,297,930,911,968x = 14,201,598,865,054 × 7,515,686,167,034.20 - Step 4: Simplify right side
10,297,930,911,968x = 106,734,760,139,854,950,260,801,536 - Step 5: Solve for x
x = 106,734,760,139,854,950,260,801,536/10,297,930,911,968 - Step 6: Final answer
x = 10,364,680,152,962.62
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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.