Finding the Fourth Proportional to 1,478,471,886,690.90, 2,040,303,183,208.80 and 819,288,973,904.13
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Solution
The fourth proportional to 1,478,471,886,690.90, 2,040,303,183,208.80 and 819,288,973,904.13 is: 1,130,625,422,418.97
Step by Step Solution
- Step 1: Write the proportion equation
1,478,471,886,690.90 : 2,040,303,183,208.80 = 819,288,973,904.13 : x - Step 2: Convert to fraction form
1,478,471,886,690.90/2,040,303,183,208.80 = 819,288,973,904.13/x - Step 3: Cross multiply
1,478,471,886,690.90x = 2,040,303,183,208.80 × 819,288,973,904.13 - Step 4: Simplify right side
1,478,471,886,690.90x = 1,671,597,901,424,467,839,549,440 - Step 5: Solve for x
x = 1,671,597,901,424,467,839,549,440/1,478,471,886,690.90 - Step 6: Final answer
x = 1,130,625,422,418.97
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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.