Finding the Fourth Proportional to 1,798,082,120,097.20, 2,697,281,736,813.30 and 507,304,669,669.23
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Solution
The fourth proportional to 1,798,082,120,097.20, 2,697,281,736,813.30 and 507,304,669,669.23 is: 761,001,739,133.56
Step by Step Solution
- Step 1: Write the proportion equation
1,798,082,120,097.20 : 2,697,281,736,813.30 = 507,304,669,669.23 : x - Step 2: Convert to fraction form
1,798,082,120,097.20/2,697,281,736,813.30 = 507,304,669,669.23/x - Step 3: Cross multiply
1,798,082,120,097.20x = 2,697,281,736,813.30 × 507,304,669,669.23 - Step 4: Simplify right side
1,798,082,120,097.20x = 1,368,343,620,498,917,917,982,720 - Step 5: Solve for x
x = 1,368,343,620,498,917,917,982,720/1,798,082,120,097.20 - Step 6: Final answer
x = 761,001,739,133.56
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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.