Finding the Fourth Proportional to 42,284,433,972.30, 58,354,053,122.07 and 24,223,440,817.02
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Solution
The fourth proportional to 42,284,433,972.30, 58,354,053,122.07 and 24,223,440,817.02 is: 33,429,227,246.17
Step by Step Solution
- Step 1: Write the proportion equation
42,284,433,972.30 : 58,354,053,122.07 = 24,223,440,817.02 : x - Step 2: Convert to fraction form
42,284,433,972.30/58,354,053,122.07 = 24,223,440,817.02/x - Step 3: Cross multiply
42,284,433,972.30x = 58,354,053,122.07 × 24,223,440,817.02 - Step 4: Simplify right side
42,284,433,972.30x = 1,413,535,952,235,703,828,480 - Step 5: Solve for x
x = 1,413,535,952,235,703,828,480/42,284,433,972.30 - Step 6: Final answer
x = 33,429,227,246.17
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1.5x scale
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.