Finding the Fourth Proportional to 2,844,429,102,417.80, 3,925,316,048,443.70 and 1,543,786,289,678
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Solution
The fourth proportional to 2,844,429,102,417.80, 3,925,316,048,443.70 and 1,543,786,289,678 is: 2,130,427,189,445.31
Step by Step Solution
- Step 1: Write the proportion equation
2,844,429,102,417.80 : 3,925,316,048,443.70 = 1,543,786,289,678 : x - Step 2: Convert to fraction form
2,844,429,102,417.80/3,925,316,048,443.70 = 1,543,786,289,678/x - Step 3: Cross multiply
2,844,429,102,417.80x = 3,925,316,048,443.70 × 1,543,786,289,678 - Step 4: Simplify right side
2,844,429,102,417.80x = 6,059,849,098,240,408,453,906,432 - Step 5: Solve for x
x = 6,059,849,098,240,408,453,906,432/2,844,429,102,417.80 - Step 6: Final answer
x = 2,130,427,189,445.31
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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.