Finding the Fourth Proportional to 10,297,930,911,972, 14,201,598,865,059 and 7,515,686,167,037.70
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Solution
The fourth proportional to 10,297,930,911,972, 14,201,598,865,059 and 7,515,686,167,037.70 is: 10,364,680,152,967.07
Step by Step Solution
- Step 1: Write the proportion equation
10,297,930,911,972 : 14,201,598,865,059 = 7,515,686,167,037.70 : x - Step 2: Convert to fraction form
10,297,930,911,972/14,201,598,865,059 = 7,515,686,167,037.70/x - Step 3: Cross multiply
10,297,930,911,972x = 14,201,598,865,059 × 7,515,686,167,037.70 - Step 4: Simplify right side
10,297,930,911,972x = 106,734,760,139,942,223,996,256,256 - Step 5: Solve for x
x = 106,734,760,139,942,223,996,256,256/10,297,930,911,972 - Step 6: Final answer
x = 10,364,680,152,967.07
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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.