Finding the Fourth Proportional to 2,844,429,102,422.80, 3,925,316,048,450.70 and 1,543,786,289,683
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Solution
The fourth proportional to 2,844,429,102,422.80, 3,925,316,048,450.70 and 1,543,786,289,683 is: 2,130,427,189,452.27
Step by Step Solution
- Step 1: Write the proportion equation
2,844,429,102,422.80 : 3,925,316,048,450.70 = 1,543,786,289,683 : x - Step 2: Convert to fraction form
2,844,429,102,422.80/3,925,316,048,450.70 = 1,543,786,289,683/x - Step 3: Cross multiply
2,844,429,102,422.80x = 3,925,316,048,450.70 × 1,543,786,289,683 - Step 4: Simplify right side
2,844,429,102,422.80x = 6,059,849,098,270,841,518,424,064 - Step 5: Solve for x
x = 6,059,849,098,270,841,518,424,064/2,844,429,102,422.80 - Step 6: Final answer
x = 2,130,427,189,452.27
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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.