Finding the Fourth Proportional to 431,954,831,302.08, 647,696,046,216.96 and 342,989,312,078.40
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Solution
The fourth proportional to 431,954,831,302.08, 647,696,046,216.96 and 342,989,312,078.40 is: 514,296,415,340.93
Step by Step Solution
- Step 1: Write the proportion equation
431,954,831,302.08 : 647,696,046,216.96 = 342,989,312,078.40 : x - Step 2: Convert to fraction form
431,954,831,302.08/647,696,046,216.96 = 342,989,312,078.40/x - Step 3: Cross multiply
431,954,831,302.08x = 647,696,046,216.96 × 342,989,312,078.40 - Step 4: Simplify right side
431,954,831,302.08x = 222,152,821,327,854,672,281,600 - Step 5: Solve for x
x = 222,152,821,327,854,672,281,600/431,954,831,302.08 - Step 6: Final answer
x = 514,296,415,340.93
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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.