Finding the Fourth Proportional to 726,470,892,465.15, 1,089,702,374,812.20 and 296,206,289,031.99
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Solution
The fourth proportional to 726,470,892,465.15, 1,089,702,374,812.20 and 296,206,289,031.99 is: 444,307,817,340.32
Step by Step Solution
- Step 1: Write the proportion equation
726,470,892,465.15 : 1,089,702,374,812.20 = 296,206,289,031.99 : x - Step 2: Convert to fraction form
726,470,892,465.15/1,089,702,374,812.20 = 296,206,289,031.99/x - Step 3: Cross multiply
726,470,892,465.15x = 1,089,702,374,812.20 × 296,206,289,031.99 - Step 4: Simplify right side
726,470,892,465.15x = 322,776,696,592,468,390,445,056 - Step 5: Solve for x
x = 322,776,696,592,468,390,445,056/726,470,892,465.15 - Step 6: Final answer
x = 444,307,817,340.32
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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.