Finding the Fourth Proportional to 313,489,878,214.24, 432,603,571,200.24 and 185,072,693,753.44
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Solution
The fourth proportional to 313,489,878,214.24, 432,603,571,200.24 and 185,072,693,753.44 is: 255,392,961,027.82
Step by Step Solution
- Step 1: Write the proportion equation
313,489,878,214.24 : 432,603,571,200.24 = 185,072,693,753.44 : x - Step 2: Convert to fraction form
313,489,878,214.24/432,603,571,200.24 = 185,072,693,753.44/x - Step 3: Cross multiply
313,489,878,214.24x = 432,603,571,200.24 × 185,072,693,753.44 - Step 4: Simplify right side
313,489,878,214.24x = 80,063,108,249,386,498,392,064 - Step 5: Solve for x
x = 80,063,108,249,386,498,392,064/313,489,878,214.24 - Step 6: Final answer
x = 255,392,961,027.82
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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.