Finding the Fourth Proportional to 10,297,930,911,964, 14,201,598,865,048 and 7,515,686,167,030
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Solution
The fourth proportional to 10,297,930,911,964, 14,201,598,865,048 and 7,515,686,167,030 is: 10,364,680,152,956.47
Step by Step Solution
- Step 1: Write the proportion equation
10,297,930,911,964 : 14,201,598,865,048 = 7,515,686,167,030 : x - Step 2: Convert to fraction form
10,297,930,911,964/14,201,598,865,048 = 7,515,686,167,030/x - Step 3: Cross multiply
10,297,930,911,964x = 14,201,598,865,048 × 7,515,686,167,030 - Step 4: Simplify right side
10,297,930,911,964x = 106,734,760,139,750,204,598,386,688 - Step 5: Solve for x
x = 106,734,760,139,750,204,598,386,688/10,297,930,911,964 - Step 6: Final answer
x = 10,364,680,152,956.47
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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.