Finding the Fourth Proportional to 46,696,937,465.70, 70,115,301,315.99 and 40,420,831,832.10
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Solution
The fourth proportional to 46,696,937,465.70, 70,115,301,315.99 and 40,420,831,832.10 is: 60,691,748,906.07
Step by Step Solution
- Step 1: Write the proportion equation
46,696,937,465.70 : 70,115,301,315.99 = 40,420,831,832.10 : x - Step 2: Convert to fraction form
46,696,937,465.70/70,115,301,315.99 = 40,420,831,832.10/x - Step 3: Cross multiply
46,696,937,465.70x = 70,115,301,315.99 × 40,420,831,832.10 - Step 4: Simplify right side
46,696,937,465.70x = 2,834,118,803,350,651,666,432 - Step 5: Solve for x
x = 2,834,118,803,350,651,666,432/46,696,937,465.70 - Step 6: Final answer
x = 60,691,748,906.07
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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.