Finding the Fourth Proportional to 1,747,053,310,856.40, 2,620,579,966,284.60 and 852,232,512,085.20
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Solution
The fourth proportional to 1,747,053,310,856.40, 2,620,579,966,284.60 and 852,232,512,085.20 is: 1,278,348,768,127.80
Step by Step Solution
- Step 1: Write the proportion equation
1,747,053,310,856.40 : 2,620,579,966,284.60 = 852,232,512,085.20 : x - Step 2: Convert to fraction form
1,747,053,310,856.40/2,620,579,966,284.60 = 852,232,512,085.20/x - Step 3: Cross multiply
1,747,053,310,856.40x = 2,620,579,966,284.60 × 852,232,512,085.20 - Step 4: Simplify right side
1,747,053,310,856.40x = 2,233,343,447,786,873,455,378,432 - Step 5: Solve for x
x = 2,233,343,447,786,873,455,378,432/1,747,053,310,856.40 - Step 6: Final answer
x = 1,278,348,768,127.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.