Finding the Fourth Proportional to 2,146,684,155,944.40, 3,219,787,571,402.70 and 768,232,537,144.05
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Solution
The fourth proportional to 2,146,684,155,944.40, 3,219,787,571,402.70 and 768,232,537,144.05 is: 1,152,263,395,709.17
Step by Step Solution
- Step 1: Write the proportion equation
2,146,684,155,944.40 : 3,219,787,571,402.70 = 768,232,537,144.05 : x - Step 2: Convert to fraction form
2,146,684,155,944.40/3,219,787,571,402.70 = 768,232,537,144.05/x - Step 3: Cross multiply
2,146,684,155,944.40x = 3,219,787,571,402.70 × 768,232,537,144.05 - Step 4: Simplify right side
2,146,684,155,944.40x = 2,473,545,575,043,575,440,211,968 - Step 5: Solve for x
x = 2,473,545,575,043,575,440,211,968/2,146,684,155,944.40 - Step 6: Final answer
x = 1,152,263,395,709.17
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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.