Finding the Fourth Proportional to 40,296,535,725,267, 60,450,847,360,164 and 14,153,455,765,188
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Solution
The fourth proportional to 40,296,535,725,267, 60,450,847,360,164 and 14,153,455,765,188 is: 21,232,306,417,440.65
Step by Step Solution
- Step 1: Write the proportion equation
40,296,535,725,267 : 60,450,847,360,164 = 14,153,455,765,188 : x - Step 2: Convert to fraction form
40,296,535,725,267/60,450,847,360,164 = 14,153,455,765,188/x - Step 3: Cross multiply
40,296,535,725,267x = 60,450,847,360,164 × 14,153,455,765,188 - Step 4: Simplify right side
40,296,535,725,267x = 855,588,394,080,212,948,027,965,440 - Step 5: Solve for x
x = 855,588,394,080,212,948,027,965,440/40,296,535,725,267 - Step 6: Final answer
x = 21,232,306,417,440.65
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1.5x scale
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.