Finding the Fourth Proportional to 816,295,219,708.40, 1,224,442,829,562.60 and 763,399,408,943.60
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Solution
The fourth proportional to 816,295,219,708.40, 1,224,442,829,562.60 and 763,399,408,943.60 is: 1,145,099,113,415.40
Step by Step Solution
- Step 1: Write the proportion equation
816,295,219,708.40 : 1,224,442,829,562.60 = 763,399,408,943.60 : x - Step 2: Convert to fraction form
816,295,219,708.40/1,224,442,829,562.60 = 763,399,408,943.60/x - Step 3: Cross multiply
816,295,219,708.40x = 1,224,442,829,562.60 × 763,399,408,943.60 - Step 4: Simplify right side
816,295,219,708.40x = 934,738,932,373,318,075,940,864 - Step 5: Solve for x
x = 934,738,932,373,318,075,940,864/816,295,219,708.40 - Step 6: Final answer
x = 1,145,099,113,415.40
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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.