Finding the Fourth Proportional to 942,493,671,244.35, 1,413,939,058,472.90 and 305,736,348,850.11
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Solution
The fourth proportional to 942,493,671,244.35, 1,413,939,058,472.90 and 305,736,348,850.11 is: 458,668,931,604.94
Step by Step Solution
- Step 1: Write the proportion equation
942,493,671,244.35 : 1,413,939,058,472.90 = 305,736,348,850.11 : x - Step 2: Convert to fraction form
942,493,671,244.35/1,413,939,058,472.90 = 305,736,348,850.11/x - Step 3: Cross multiply
942,493,671,244.35x = 1,413,939,058,472.90 × 305,736,348,850.11 - Step 4: Simplify right side
942,493,671,244.35x = 432,292,565,234,066,554,617,856 - Step 5: Solve for x
x = 432,292,565,234,066,554,617,856/942,493,671,244.35 - Step 6: Final answer
x = 458,668,931,604.94
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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.