Finding the Fourth Proportional to 62,182,285,102,120, 85,814,250,863,648 and 34,435,238,003,432
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Solution
The fourth proportional to 62,182,285,102,120, 85,814,250,863,648 and 34,435,238,003,432 is: 47,522,122,220,548.51
Step by Step Solution
- Step 1: Write the proportion equation
62,182,285,102,120 : 85,814,250,863,648 = 34,435,238,003,432 : x - Step 2: Convert to fraction form
62,182,285,102,120/85,814,250,863,648 = 34,435,238,003,432/x - Step 3: Cross multiply
62,182,285,102,120x = 85,814,250,863,648 × 34,435,238,003,432 - Step 4: Simplify right side
62,182,285,102,120x = 2,955,034,152,575,939,152,690,806,784 - Step 5: Solve for x
x = 2,955,034,152,575,939,152,690,806,784/62,182,285,102,120 - Step 6: Final answer
x = 47,522,122,220,548.51
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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.