Finding the Fourth Proportional to 1,505,869,056,400.20, 2,258,803,584,600.20 and 563,539,983,145.80
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Solution
The fourth proportional to 1,505,869,056,400.20, 2,258,803,584,600.20 and 563,539,983,145.80 is: 845,309,974,718.66
Step by Step Solution
- Step 1: Write the proportion equation
1,505,869,056,400.20 : 2,258,803,584,600.20 = 563,539,983,145.80 : x - Step 2: Convert to fraction form
1,505,869,056,400.20/2,258,803,584,600.20 = 563,539,983,145.80/x - Step 3: Cross multiply
1,505,869,056,400.20x = 2,258,803,584,600.20 × 563,539,983,145.80 - Step 4: Simplify right side
1,505,869,056,400.20x = 1,272,926,133,995,269,519,310,848 - Step 5: Solve for x
x = 1,272,926,133,995,269,519,310,848/1,505,869,056,400.20 - Step 6: Final answer
x = 845,309,974,718.66
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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.