Finding the Fourth Proportional to 587,502,292,245.20, 881,655,982,553.05 and 205,046,367,465.67
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Solution
The fourth proportional to 587,502,292,245.20, 881,655,982,553.05 and 205,046,367,465.67 is: 307,710,044,646.82
Step by Step Solution
- Step 1: Write the proportion equation
587,502,292,245.20 : 881,655,982,553.05 = 205,046,367,465.67 : x - Step 2: Convert to fraction form
587,502,292,245.20/881,655,982,553.05 = 205,046,367,465.67/x - Step 3: Cross multiply
587,502,292,245.20x = 881,655,982,553.05 × 205,046,367,465.67 - Step 4: Simplify right side
587,502,292,245.20x = 180,780,356,576,879,048,654,848 - Step 5: Solve for x
x = 180,780,356,576,879,048,654,848/587,502,292,245.20 - 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.