Finding the Fourth Proportional to 1,475,120,212,672.80, 2,035,529,282,775.60 and 815,912,101,089.50
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Solution
The fourth proportional to 1,475,120,212,672.80, 2,035,529,282,775.60 and 815,912,101,089.50 is: 1,125,883,137,977.88
Step by Step Solution
- Step 1: Write the proportion equation
1,475,120,212,672.80 : 2,035,529,282,775.60 = 815,912,101,089.50 : x - Step 2: Convert to fraction form
1,475,120,212,672.80/2,035,529,282,775.60 = 815,912,101,089.50/x - Step 3: Cross multiply
1,475,120,212,672.80x = 2,035,529,282,775.60 × 815,912,101,089.50 - Step 4: Simplify right side
1,475,120,212,672.80x = 1,660,812,973,938,642,870,337,536 - Step 5: Solve for x
x = 1,660,812,973,938,642,870,337,536/1,475,120,212,672.80 - Step 6: Final answer
x = 1,125,883,137,977.88
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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.