Finding the Fourth Proportional to 40,296,535,725,285, 60,450,847,360,188 and 14,153,455,765,207
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Solution
The fourth proportional to 40,296,535,725,285, 60,450,847,360,188 and 14,153,455,765,207 is: 21,232,306,417,468.10
Step by Step Solution
- Step 1: Write the proportion equation
40,296,535,725,285 : 60,450,847,360,188 = 14,153,455,765,207 : x - Step 2: Convert to fraction form
40,296,535,725,285/60,450,847,360,188 = 14,153,455,765,207/x - Step 3: Cross multiply
40,296,535,725,285x = 60,450,847,360,188 × 14,153,455,765,207 - Step 4: Simplify right side
40,296,535,725,285x = 855,588,394,081,701,137,016,160,256 - Step 5: Solve for x
x = 855,588,394,081,701,137,016,160,256/40,296,535,725,285 - Step 6: Final answer
x = 21,232,306,417,468.10
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.