Finding the Fourth Proportional to 1,478,471,886,691.10, 2,040,303,183,209.10 and 819,288,973,904.40
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Solution
The fourth proportional to 1,478,471,886,691.10, 2,040,303,183,209.10 and 819,288,973,904.40 is: 1,130,625,422,419.35
Step by Step Solution
- Step 1: Write the proportion equation
1,478,471,886,691.10 : 2,040,303,183,209.10 = 819,288,973,904.40 : x - Step 2: Convert to fraction form
1,478,471,886,691.10/2,040,303,183,209.10 = 819,288,973,904.40/x - Step 3: Cross multiply
1,478,471,886,691.10x = 2,040,303,183,209.10 × 819,288,973,904.40 - Step 4: Simplify right side
1,478,471,886,691.10x = 1,671,597,901,425,264,824,418,304 - Step 5: Solve for x
x = 1,671,597,901,425,264,824,418,304/1,478,471,886,691.10 - Step 6: Final answer
x = 1,130,625,422,419.35
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.