Finding the Fourth Proportional to 27,596,148,688,000, 38,080,129,512,406 and 15,263,862,329,912
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Solution
The fourth proportional to 27,596,148,688,000, 38,080,129,512,406 and 15,263,862,329,912 is: 21,062,716,430,258.14
Step by Step Solution
- Step 1: Write the proportion equation
27,596,148,688,000 : 38,080,129,512,406 = 15,263,862,329,912 : x - Step 2: Convert to fraction form
27,596,148,688,000/38,080,129,512,406 = 15,263,862,329,912/x - Step 3: Cross multiply
27,596,148,688,000x = 38,080,129,512,406 × 15,263,862,329,912 - Step 4: Simplify right side
27,596,148,688,000x = 581,249,854,382,584,191,948,685,312 - Step 5: Solve for x
x = 581,249,854,382,584,191,948,685,312/27,596,148,688,000 - Step 6: Final answer
x = 21,062,716,430,258.14
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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.