Finding the Fourth Proportional to 1,780,867,176,165.50, 2,457,461,830,635.60 and 999,449,386,542.65
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Solution
The fourth proportional to 1,780,867,176,165.50, 2,457,461,830,635.60 and 999,449,386,542.65 is: 1,379,164,460,972.96
Step by Step Solution
- Step 1: Write the proportion equation
1,780,867,176,165.50 : 2,457,461,830,635.60 = 999,449,386,542.65 : x - Step 2: Convert to fraction form
1,780,867,176,165.50/2,457,461,830,635.60 = 999,449,386,542.65/x - Step 3: Cross multiply
1,780,867,176,165.50x = 2,457,461,830,635.60 × 999,449,386,542.65 - Step 4: Simplify right side
1,780,867,176,165.50x = 2,456,108,719,080,728,361,435,136 - Step 5: Solve for x
x = 2,456,108,719,080,728,361,435,136/1,780,867,176,165.50 - Step 6: Final answer
x = 1,379,164,460,972.96
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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.