Finding the Fourth Proportional to 1,242,457,361,244, 1,862,038,514,929.70 and 638,058,150,418.99
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Solution
The fourth proportional to 1,242,457,361,244, 1,862,038,514,929.70 and 638,058,150,418.99 is: 956,241,145,897.68
Step by Step Solution
- Step 1: Write the proportion equation
1,242,457,361,244 : 1,862,038,514,929.70 = 638,058,150,418.99 : x - Step 2: Convert to fraction form
1,242,457,361,244/1,862,038,514,929.70 = 638,058,150,418.99/x - Step 3: Cross multiply
1,242,457,361,244x = 1,862,038,514,929.70 × 638,058,150,418.99 - Step 4: Simplify right side
1,242,457,361,244x = 1,188,088,850,844,967,237,582,848 - Step 5: Solve for x
x = 1,188,088,850,844,967,237,582,848/1,242,457,361,244 - Step 6: Final answer
x = 956,241,145,897.68
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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.