Finding the Fourth Proportional to 553,318,338,635.52, 829,995,880,763.52 and 190,280,442,439.68
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Solution
The fourth proportional to 553,318,338,635.52, 829,995,880,763.52 and 190,280,442,439.68 is: 285,426,981,878.56
Step by Step Solution
- Step 1: Write the proportion equation
553,318,338,635.52 : 829,995,880,763.52 = 190,280,442,439.68 : x - Step 2: Convert to fraction form
553,318,338,635.52/829,995,880,763.52 = 190,280,442,439.68/x - Step 3: Cross multiply
553,318,338,635.52x = 829,995,880,763.52 × 190,280,442,439.68 - Step 4: Simplify right side
553,318,338,635.52x = 157,931,983,414,794,469,244,928 - Step 5: Solve for x
x = 157,931,983,414,794,469,244,928/553,318,338,635.52 - Step 6: Final answer
x = 285,426,981,878.56
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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.