Finding the Fourth Proportional to 5,459,074,494,256, 7,533,759,612,844 and 3,023,119,742,107
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Solution
The fourth proportional to 5,459,074,494,256, 7,533,759,612,844 and 3,023,119,742,107 is: 4,172,036,384,892.95
Step by Step Solution
- Step 1: Write the proportion equation
5,459,074,494,256 : 7,533,759,612,844 = 3,023,119,742,107 : x - Step 2: Convert to fraction form
5,459,074,494,256/7,533,759,612,844 = 3,023,119,742,107/x - Step 3: Cross multiply
5,459,074,494,256x = 7,533,759,612,844 × 3,023,119,742,107 - Step 4: Simplify right side
5,459,074,494,256x = 22,775,457,417,877,083,773,730,816 - Step 5: Solve for x
x = 22,775,457,417,877,083,773,730,816/5,459,074,494,256 - Step 6: Final answer
x = 4,172,036,384,892.95
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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.