Finding the Fourth Proportional to 864,593,988,565.80, 1,296,629,877,581.60 and 260,058,712,501.80
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Solution
The fourth proportional to 864,593,988,565.80, 1,296,629,877,581.60 and 260,058,712,501.80 is: 390,009,531,658.43
Step by Step Solution
- Step 1: Write the proportion equation
864,593,988,565.80 : 1,296,629,877,581.60 = 260,058,712,501.80 : x - Step 2: Convert to fraction form
864,593,988,565.80/1,296,629,877,581.60 = 260,058,712,501.80/x - Step 3: Cross multiply
864,593,988,565.80x = 1,296,629,877,581.60 × 260,058,712,501.80 - Step 4: Simplify right side
864,593,988,565.80x = 337,199,896,555,237,431,836,672 - Step 5: Solve for x
x = 337,199,896,555,237,431,836,672/864,593,988,565.80 - Step 6: Final answer
x = 390,009,531,658.43
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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.