Finding the Fourth Proportional to 803,916,220,315.60, 1,206,230,431,919.90 and 421,369,381,671.80
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Solution
The fourth proportional to 803,916,220,315.60, 1,206,230,431,919.90 and 421,369,381,671.80 is: 632,240,721,616.81
Step by Step Solution
- Step 1: Write the proportion equation
803,916,220,315.60 : 1,206,230,431,919.90 = 421,369,381,671.80 : x - Step 2: Convert to fraction form
803,916,220,315.60/1,206,230,431,919.90 = 421,369,381,671.80/x - Step 3: Cross multiply
803,916,220,315.60x = 1,206,230,431,919.90 × 421,369,381,671.80 - Step 4: Simplify right side
803,916,220,315.60x = 508,268,571,251,796,468,563,968 - Step 5: Solve for x
x = 508,268,571,251,796,468,563,968/803,916,220,315.60 - Step 6: Final answer
x = 632,240,721,616.81
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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.