Finding the Fourth Proportional to 4,230,129,266,007, 6,346,438,809,737.10 and 1,364,891,303,919.40
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Solution
The fourth proportional to 4,230,129,266,007, 6,346,438,809,737.10 and 1,364,891,303,919.40 is: 2,047,738,638,125.21
Step by Step Solution
- Step 1: Write the proportion equation
4,230,129,266,007 : 6,346,438,809,737.10 = 1,364,891,303,919.40 : x - Step 2: Convert to fraction form
4,230,129,266,007/6,346,438,809,737.10 = 1,364,891,303,919.40/x - Step 3: Cross multiply
4,230,129,266,007x = 6,346,438,809,737.10 × 1,364,891,303,919.40 - Step 4: Simplify right side
4,230,129,266,007x = 8,662,199,142,266,753,999,962,112 - Step 5: Solve for x
x = 8,662,199,142,266,753,999,962,112/4,230,129,266,007 - Step 6: Final answer
x = 2,047,738,638,125.21
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.