Finding the Fourth Proportional to 358,314,548,260.75, 537,468,141,178.23 and 207,124,648,295.05
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Solution
The fourth proportional to 358,314,548,260.75, 537,468,141,178.23 and 207,124,648,295.05 is: 310,684,844,507.97
Step by Step Solution
- Step 1: Write the proportion equation
358,314,548,260.75 : 537,468,141,178.23 = 207,124,648,295.05 : x - Step 2: Convert to fraction form
358,314,548,260.75/537,468,141,178.23 = 207,124,648,295.05/x - Step 3: Cross multiply
358,314,548,260.75x = 537,468,141,178.23 × 207,124,648,295.05 - Step 4: Simplify right side
358,314,548,260.75x = 111,322,899,711,335,164,018,688 - Step 5: Solve for x
x = 111,322,899,711,335,164,018,688/358,314,548,260.75 - Step 6: Final answer
x = 310,684,844,507.97
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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.