Finding the Fourth Proportional to 1,780,867,176,114.40, 2,457,461,830,565.20 and 999,449,386,491.75
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Solution
The fourth proportional to 1,780,867,176,114.40, 2,457,461,830,565.20 and 999,449,386,491.75 is: 1,379,164,460,902.79
Step by Step Solution
- Step 1: Write the proportion equation
1,780,867,176,114.40 : 2,457,461,830,565.20 = 999,449,386,491.75 : x - Step 2: Convert to fraction form
1,780,867,176,114.40/2,457,461,830,565.20 = 999,449,386,491.75/x - Step 3: Cross multiply
1,780,867,176,114.40x = 2,457,461,830,565.20 × 999,449,386,491.75 - Step 4: Simplify right side
1,780,867,176,114.40x = 2,456,108,718,885,282,116,534,272 - Step 5: Solve for x
x = 2,456,108,718,885,282,116,534,272/1,780,867,176,114.40 - Step 6: Final answer
x = 1,379,164,460,902.79
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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.