Finding the Fourth Proportional to 1,719,267,572,603.90, 2,578,901,358,905.80 and 824,446,773,832.70
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Solution
The fourth proportional to 1,719,267,572,603.90, 2,578,901,358,905.80 and 824,446,773,832.70 is: 1,236,670,160,749.03
Step by Step Solution
- Step 1: Write the proportion equation
1,719,267,572,603.90 : 2,578,901,358,905.80 = 824,446,773,832.70 : x - Step 2: Convert to fraction form
1,719,267,572,603.90/2,578,901,358,905.80 = 824,446,773,832.70/x - Step 3: Cross multiply
1,719,267,572,603.90x = 2,578,901,358,905.80 × 824,446,773,832.70 - Step 4: Simplify right side
1,719,267,572,603.90x = 2,126,166,905,382,652,572,860,416 - Step 5: Solve for x
x = 2,126,166,905,382,652,572,860,416/1,719,267,572,603.90 - Step 6: Final answer
x = 1,236,670,160,749.03
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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.