Finding the Fourth Proportional to 1,617,503,936,265.60, 2,232,225,598,201.80 and 895,739,565,258.60
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Solution
The fourth proportional to 1,617,503,936,265.60, 2,232,225,598,201.80 and 895,739,565,258.60 is: 1,236,159,456,593.79
Step by Step Solution
- Step 1: Write the proportion equation
1,617,503,936,265.60 : 2,232,225,598,201.80 = 895,739,565,258.60 : x - Step 2: Convert to fraction form
1,617,503,936,265.60/2,232,225,598,201.80 = 895,739,565,258.60/x - Step 3: Cross multiply
1,617,503,936,265.60x = 2,232,225,598,201.80 × 895,739,565,258.60 - Step 4: Simplify right side
1,617,503,936,265.60x = 1,999,492,786,892,398,355,546,112 - Step 5: Solve for x
x = 1,999,492,786,892,398,355,546,112/1,617,503,936,265.60 - Step 6: Final answer
x = 1,236,159,456,593.79
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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.