Finding the Fourth Proportional to 1,598,295,217,856.10, 2,397,583,766,043.90 and 450,937,484,142.51
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Solution
The fourth proportional to 1,598,295,217,856.10, 2,397,583,766,043.90 and 450,937,484,142.51 is: 676,445,990,328.99
Step by Step Solution
- Step 1: Write the proportion equation
1,598,295,217,856.10 : 2,397,583,766,043.90 = 450,937,484,142.51 : x - Step 2: Convert to fraction form
1,598,295,217,856.10/2,397,583,766,043.90 = 450,937,484,142.51/x - Step 3: Cross multiply
1,598,295,217,856.10x = 2,397,583,766,043.90 × 450,937,484,142.51 - Step 4: Simplify right side
1,598,295,217,856.10x = 1,081,160,391,480,760,598,528,000 - Step 5: Solve for x
x = 1,081,160,391,480,760,598,528,000/1,598,295,217,856.10 - Step 6: Final answer
x = 676,445,990,328.99
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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.