Finding the Fourth Proportional to 223,391,718,478.23, 335,085,369,494.97 and 102,345,938,635.96
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Solution
The fourth proportional to 223,391,718,478.23, 335,085,369,494.97 and 102,345,938,635.96 is: 153,517,896,266.52
Step by Step Solution
- Step 1: Write the proportion equation
223,391,718,478.23 : 335,085,369,494.97 = 102,345,938,635.96 : x - Step 2: Convert to fraction form
223,391,718,478.23/335,085,369,494.97 = 102,345,938,635.96/x - Step 3: Cross multiply
223,391,718,478.23x = 335,085,369,494.97 × 102,345,938,635.96 - Step 4: Simplify right side
223,391,718,478.23x = 34,294,626,664,140,180,029,440 - Step 5: Solve for x
x = 34,294,626,664,140,180,029,440/223,391,718,478.23 - Step 6: Final answer
x = 153,517,896,266.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.