Finding the Fourth Proportional to 1,024,081,873.68, 1,413,232,949.52 and 554,183,189.76
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Solution
The fourth proportional to 1,024,081,873.68, 1,413,232,949.52 and 554,183,189.76 is: 764,772,782.30
Step by Step Solution
- Step 1: Write the proportion equation
1,024,081,873.68 : 1,413,232,949.52 = 554,183,189.76 : x - Step 2: Convert to fraction form
1,024,081,873.68/1,413,232,949.52 = 554,183,189.76/x - Step 3: Cross multiply
1,024,081,873.68x = 1,413,232,949.52 × 554,183,189.76 - Step 4: Simplify right side
1,024,081,873.68x = 783,189,943,838,926,592 - Step 5: Solve for x
x = 783,189,943,838,926,592/1,024,081,873.68 - Step 6: Final answer
x = 764,772,782.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.