Finding the Fourth Proportional to 688,307,260,409.95, 949,866,972,414.84 and 375,454,462,120.98
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Solution
The fourth proportional to 688,307,260,409.95, 949,866,972,414.84 and 375,454,462,120.98 is: 518,128,768,541.67
Step by Step Solution
- Step 1: Write the proportion equation
688,307,260,409.95 : 949,866,972,414.84 = 375,454,462,120.98 : x - Step 2: Convert to fraction form
688,307,260,409.95/949,866,972,414.84 = 375,454,462,120.98/x - Step 3: Cross multiply
688,307,260,409.95x = 949,866,972,414.84 × 375,454,462,120.98 - Step 4: Simplify right side
688,307,260,409.95x = 356,631,793,214,497,497,284,608 - Step 5: Solve for x
x = 356,631,793,214,497,497,284,608/688,307,260,409.95 - Step 6: Final answer
x = 518,128,768,541.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.