Finding the Fourth Proportional to 1,999,098,402,562.10, 2,997,702,329,237.80 and 774,431,123,619.80
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Solution
The fourth proportional to 1,999,098,402,562.10, 2,997,702,329,237.80 and 774,431,123,619.80 is: 1,161,280,495,314.29
Step by Step Solution
- Step 1: Write the proportion equation
1,999,098,402,562.10 : 2,997,702,329,237.80 = 774,431,123,619.80 : x - Step 2: Convert to fraction form
1,999,098,402,562.10/2,997,702,329,237.80 = 774,431,123,619.80/x - Step 3: Cross multiply
1,999,098,402,562.10x = 2,997,702,329,237.80 × 774,431,123,619.80 - Step 4: Simplify right side
1,999,098,402,562.10x = 2,321,513,983,109,321,174,548,480 - Step 5: Solve for x
x = 2,321,513,983,109,321,174,548,480/1,999,098,402,562.10 - Step 6: Final answer
x = 1,161,280,495,314.29
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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.