Finding the Fourth Proportional to 414,292,014.06, 571,720,163.13 and 228,653,024.28
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Solution
The fourth proportional to 414,292,014.06, 571,720,163.13 and 228,653,024.28 is: 315,539,619.17
Step by Step Solution
- Step 1: Write the proportion equation
414,292,014.06 : 571,720,163.13 = 228,653,024.28 : x - Step 2: Convert to fraction form
414,292,014.06/571,720,163.13 = 228,653,024.28/x - Step 3: Cross multiply
414,292,014.06x = 571,720,163.13 × 228,653,024.28 - Step 4: Simplify right side
414,292,014.06x = 130,725,544,341,529,456 - Step 5: Solve for x
x = 130,725,544,341,529,456/414,292,014.06 - Step 6: Final answer
x = 315,539,619.17
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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.