Finding the Fourth Proportional to 32,003,225,579,142, 44,164,451,294,934 and 18,129,702,029,828
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Solution
The fourth proportional to 32,003,225,579,142, 44,164,451,294,934 and 18,129,702,029,828 is: 25,018,988,798,736.93
Step by Step Solution
- Step 1: Write the proportion equation
32,003,225,579,142 : 44,164,451,294,934 = 18,129,702,029,828 : x - Step 2: Convert to fraction form
32,003,225,579,142/44,164,451,294,934 = 18,129,702,029,828/x - Step 3: Cross multiply
32,003,225,579,142x = 44,164,451,294,934 × 18,129,702,029,828 - Step 4: Simplify right side
32,003,225,579,142x = 800,688,342,288,004,842,895,966,208 - Step 5: Solve for x
x = 800,688,342,288,004,842,895,966,208/32,003,225,579,142 - Step 6: Final answer
x = 25,018,988,798,736.93
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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.