Finding the Fourth Proportional to 2,146,684,155,946.30, 3,219,787,571,405.50 and 768,232,537,145.94
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Solution
The fourth proportional to 2,146,684,155,946.30, 3,219,787,571,405.50 and 768,232,537,145.94 is: 1,152,263,395,711.99
Step by Step Solution
- Step 1: Write the proportion equation
2,146,684,155,946.30 : 3,219,787,571,405.50 = 768,232,537,145.94 : x - Step 2: Convert to fraction form
2,146,684,155,946.30/3,219,787,571,405.50 = 768,232,537,145.94/x - Step 3: Cross multiply
2,146,684,155,946.30x = 3,219,787,571,405.50 × 768,232,537,145.94 - Step 4: Simplify right side
2,146,684,155,946.30x = 2,473,545,575,051,811,576,872,960 - Step 5: Solve for x
x = 2,473,545,575,051,811,576,872,960/2,146,684,155,946.30 - Step 6: Final answer
x = 1,152,263,395,711.99
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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.