Finding the Fourth Proportional to 1,780,867,176,114.60, 2,457,461,830,565.80 and 999,449,386,492.05
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Solution
The fourth proportional to 1,780,867,176,114.60, 2,457,461,830,565.80 and 999,449,386,492.05 is: 1,379,164,460,903.38
Step by Step Solution
- Step 1: Write the proportion equation
1,780,867,176,114.60 : 2,457,461,830,565.80 = 999,449,386,492.05 : x - Step 2: Convert to fraction form
1,780,867,176,114.60/2,457,461,830,565.80 = 999,449,386,492.05/x - Step 3: Cross multiply
1,780,867,176,114.60x = 2,457,461,830,565.80 × 999,449,386,492.05 - Step 4: Simplify right side
1,780,867,176,114.60x = 2,456,108,718,886,618,925,105,152 - Step 5: Solve for x
x = 2,456,108,718,886,618,925,105,152/1,780,867,176,114.60 - Step 6: Final answer
x = 1,379,164,460,903.38
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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.