Finding the Fourth Proportional to 1,058,466,372,422, 1,587,699,471,070.20 and 293,554,513,139.66
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Solution
The fourth proportional to 1,058,466,372,422, 1,587,699,471,070.20 and 293,554,513,139.66 is: 440,331,745,424.87
Step by Step Solution
- Step 1: Write the proportion equation
1,058,466,372,422 : 1,587,699,471,070.20 = 293,554,513,139.66 : x - Step 2: Convert to fraction form
1,058,466,372,422/1,587,699,471,070.20 = 293,554,513,139.66/x - Step 3: Cross multiply
1,058,466,372,422x = 1,587,699,471,070.20 × 293,554,513,139.66 - Step 4: Simplify right side
1,058,466,372,422x = 466,076,345,242,108,171,386,880 - Step 5: Solve for x
x = 466,076,345,242,108,171,386,880/1,058,466,372,422 - Step 6: Final answer
x = 440,331,745,424.87
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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.