Finding the Fourth Proportional to 1,570,328,156,586.50, 2,356,207,939,428.70 and 805,953,083,941.20
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Solution
The fourth proportional to 1,570,328,156,586.50, 2,356,207,939,428.70 and 805,953,083,941.20 is: 1,209,296,953,139.55
Step by Step Solution
- Step 1: Write the proportion equation
1,570,328,156,586.50 : 2,356,207,939,428.70 = 805,953,083,941.20 : x - Step 2: Convert to fraction form
1,570,328,156,586.50/2,356,207,939,428.70 = 805,953,083,941.20/x - Step 3: Cross multiply
1,570,328,156,586.50x = 2,356,207,939,428.70 × 805,953,083,941.20 - Step 4: Simplify right side
1,570,328,156,586.50x = 1,898,993,055,189,300,955,578,368 - Step 5: Solve for x
x = 1,898,993,055,189,300,955,578,368/1,570,328,156,586.50 - Step 6: Final answer
x = 1,209,296,953,139.55
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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.