Finding the Fourth Proportional to 503,230,938,743.01, 694,460,816,331.70 and 283,502,267,341.23
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Solution
The fourth proportional to 503,230,938,743.01, 694,460,816,331.70 and 283,502,267,341.23 is: 391,234,323,750.95
Step by Step Solution
- Step 1: Write the proportion equation
503,230,938,743.01 : 694,460,816,331.70 = 283,502,267,341.23 : x - Step 2: Convert to fraction form
503,230,938,743.01/694,460,816,331.70 = 283,502,267,341.23/x - Step 3: Cross multiply
503,230,938,743.01x = 694,460,816,331.70 × 283,502,267,341.23 - Step 4: Simplify right side
503,230,938,743.01x = 196,881,216,009,678,421,491,712 - Step 5: Solve for x
x = 196,881,216,009,678,421,491,712/503,230,938,743.01 - Step 6: Final answer
x = 391,234,323,750.95
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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.