Finding the Fourth Proportional to 2,584,840,607,760.20, 3,877,260,911,907.20 and 863,788,946,711.75
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Solution
The fourth proportional to 2,584,840,607,760.20, 3,877,260,911,907.20 and 863,788,946,711.75 is: 1,295,683,420,156.82
Step by Step Solution
- Step 1: Write the proportion equation
2,584,840,607,760.20 : 3,877,260,911,907.20 = 863,788,946,711.75 : x - Step 2: Convert to fraction form
2,584,840,607,760.20/3,877,260,911,907.20 = 863,788,946,711.75/x - Step 3: Cross multiply
2,584,840,607,760.20x = 3,877,260,911,907.20 × 863,788,946,711.75 - Step 4: Simplify right side
2,584,840,607,760.20x = 3,349,135,119,222,959,786,426,368 - Step 5: Solve for x
x = 3,349,135,119,222,959,786,426,368/2,584,840,607,760.20 - Step 6: Final answer
x = 1,295,683,420,156.82
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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.