Finding the Fourth Proportional to 1,999,098,402,565.10, 2,997,702,329,242.30 and 774,431,123,622.80
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Solution
The fourth proportional to 1,999,098,402,565.10, 2,997,702,329,242.30 and 774,431,123,622.80 is: 1,161,280,495,318.79
Step by Step Solution
- Step 1: Write the proportion equation
1,999,098,402,565.10 : 2,997,702,329,242.30 = 774,431,123,622.80 : x - Step 2: Convert to fraction form
1,999,098,402,565.10/2,997,702,329,242.30 = 774,431,123,622.80/x - Step 3: Cross multiply
1,999,098,402,565.10x = 2,997,702,329,242.30 × 774,431,123,622.80 - Step 4: Simplify right side
1,999,098,402,565.10x = 2,321,513,983,121,799,128,285,184 - Step 5: Solve for x
x = 2,321,513,983,121,799,128,285,184/1,999,098,402,565.10 - Step 6: Final answer
x = 1,161,280,495,318.79
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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.