Finding the Fourth Proportional to 1,617,503,936,266.10, 2,232,225,598,202.50 and 895,739,565,259.10
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Solution
The fourth proportional to 1,617,503,936,266.10, 2,232,225,598,202.50 and 895,739,565,259.10 is: 1,236,159,456,594.48
Step by Step Solution
- Step 1: Write the proportion equation
1,617,503,936,266.10 : 2,232,225,598,202.50 = 895,739,565,259.10 : x - Step 2: Convert to fraction form
1,617,503,936,266.10/2,232,225,598,202.50 = 895,739,565,259.10/x - Step 3: Cross multiply
1,617,503,936,266.10x = 2,232,225,598,202.50 × 895,739,565,259.10 - Step 4: Simplify right side
1,617,503,936,266.10x = 1,999,492,786,894,141,843,832,832 - Step 5: Solve for x
x = 1,999,492,786,894,141,843,832,832/1,617,503,936,266.10 - Step 6: Final answer
x = 1,236,159,456,594.48
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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.