Finding the Fourth Proportional to 293,355,435,640.08, 440,033,153,460.12 and 293,355,435,640.08
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Solution
The fourth proportional to 293,355,435,640.08, 440,033,153,460.12 and 293,355,435,640.08 is: 440,033,153,460.12
Step by Step Solution
- Step 1: Write the proportion equation
293,355,435,640.08 : 440,033,153,460.12 = 293,355,435,640.08 : x - Step 2: Convert to fraction form
293,355,435,640.08/440,033,153,460.12 = 293,355,435,640.08/x - Step 3: Cross multiply
293,355,435,640.08x = 440,033,153,460.12 × 293,355,435,640.08 - Step 4: Simplify right side
293,355,435,640.08x = 129,086,117,429,371,690,024,960 - Step 5: Solve for x
x = 129,086,117,429,371,690,024,960/293,355,435,640.08 - Step 6: Final answer
x = 440,033,153,460.12
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1.5x scale
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.