Finding the Fourth Proportional to 4,516,454,646.16, 6,772,355,832.26 and 2,027,181,582.24
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Solution
The fourth proportional to 4,516,454,646.16, 6,772,355,832.26 and 2,027,181,582.24 is: 3,039,728,301.76
Step by Step Solution
- Step 1: Write the proportion equation
4,516,454,646.16 : 6,772,355,832.26 = 2,027,181,582.24 : x - Step 2: Convert to fraction form
4,516,454,646.16/6,772,355,832.26 = 2,027,181,582.24/x - Step 3: Cross multiply
4,516,454,646.16x = 6,772,355,832.26 × 2,027,181,582.24 - Step 4: Simplify right side
4,516,454,646.16x = 13,728,795,011,533,119,488 - Step 5: Solve for x
x = 13,728,795,011,533,119,488/4,516,454,646.16 - Step 6: Final answer
x = 3,039,728,301.76
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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.