Finding the Fourth Proportional to 64,438,230,684,780, 96,657,345,917,943 and 15,483,872,324,900
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Solution
The fourth proportional to 64,438,230,684,780, 96,657,345,917,943 and 15,483,872,324,900 is: 23,225,808,461,103.83
Step by Step Solution
- Step 1: Write the proportion equation
64,438,230,684,780 : 96,657,345,917,943 = 15,483,872,324,900 : x - Step 2: Convert to fraction form
64,438,230,684,780/96,657,345,917,943 = 15,483,872,324,900/x - Step 3: Cross multiply
64,438,230,684,780x = 96,657,345,917,943 × 15,483,872,324,900 - Step 4: Simplify right side
64,438,230,684,780x = 1,496,630,003,457,123,670,055,452,672 - Step 5: Solve for x
x = 1,496,630,003,457,123,670,055,452,672/64,438,230,684,780 - Step 6: Final answer
x = 23,225,808,461,103.83
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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.