Finding the Fourth Proportional to 1,780,867,176,113.40, 2,457,461,830,563.80 and 999,449,386,490.75
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Solution
The fourth proportional to 1,780,867,176,113.40, 2,457,461,830,563.80 and 999,449,386,490.75 is: 1,379,164,460,901.39
Step by Step Solution
- Step 1: Write the proportion equation
1,780,867,176,113.40 : 2,457,461,830,563.80 = 999,449,386,490.75 : x - Step 2: Convert to fraction form
1,780,867,176,113.40/2,457,461,830,563.80 = 999,449,386,490.75/x - Step 3: Cross multiply
1,780,867,176,113.40x = 2,457,461,830,563.80 × 999,449,386,490.75 - Step 4: Simplify right side
1,780,867,176,113.40x = 2,456,108,718,881,425,235,902,464 - Step 5: Solve for x
x = 2,456,108,718,881,425,235,902,464/1,780,867,176,113.40 - Step 6: Final answer
x = 1,379,164,460,901.39
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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.