Finding the Fourth Proportional to 5,901,665,363.88, 8,144,306,138.34 and 3,395,488,810.20
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Solution
The fourth proportional to 5,901,665,363.88, 8,144,306,138.34 and 3,395,488,810.20 is: 4,685,779,124.11
Step by Step Solution
- Step 1: Write the proportion equation
5,901,665,363.88 : 8,144,306,138.34 = 3,395,488,810.20 : x - Step 2: Convert to fraction form
5,901,665,363.88/8,144,306,138.34 = 3,395,488,810.20/x - Step 3: Cross multiply
5,901,665,363.88x = 8,144,306,138.34 × 3,395,488,810.20 - Step 4: Simplify right side
5,901,665,363.88x = 27,653,900,359,576,641,536 - Step 5: Solve for x
x = 27,653,900,359,576,641,536/5,901,665,363.88 - Step 6: Final answer
x = 4,685,779,124.11
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1.5x scale
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.