Finding the Fourth Proportional to 28,180,320,183,053, 42,276,564,457,334 and 8,577,998,949,701
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Solution
The fourth proportional to 28,180,320,183,053, 42,276,564,457,334 and 8,577,998,949,701 is: 12,868,850,430,239.83
Step by Step Solution
- Step 1: Write the proportion equation
28,180,320,183,053 : 42,276,564,457,334 = 8,577,998,949,701 : x - Step 2: Convert to fraction form
28,180,320,183,053/42,276,564,457,334 = 8,577,998,949,701/x - Step 3: Cross multiply
28,180,320,183,053x = 42,276,564,457,334 × 8,577,998,949,701 - Step 4: Simplify right side
28,180,320,183,053x = 362,648,325,511,977,673,720,594,432 - Step 5: Solve for x
x = 362,648,325,511,977,673,720,594,432/28,180,320,183,053 - Step 6: Final answer
x = 12,868,850,430,239.83
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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.