Finding the Fourth Proportional to 587,502,292,245.10, 881,655,982,553.20 and 205,046,367,465.60
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Solution
The fourth proportional to 587,502,292,245.10, 881,655,982,553.20 and 205,046,367,465.60 is: 307,710,044,646.82
Step by Step Solution
- Step 1: Write the proportion equation
587,502,292,245.10 : 881,655,982,553.20 = 205,046,367,465.60 : x - Step 2: Convert to fraction form
587,502,292,245.10/881,655,982,553.20 = 205,046,367,465.60/x - Step 3: Cross multiply
587,502,292,245.10x = 881,655,982,553.20 × 205,046,367,465.60 - Step 4: Simplify right side
587,502,292,245.10x = 180,780,356,576,848,077,914,112 - Step 5: Solve for x
x = 180,780,356,576,848,077,914,112/587,502,292,245.10 - Step 6: Final answer
x = 307,710,044,646.82
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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.