Finding the Fourth Proportional to 2,475,729,813,756.70, 3,715,291,038,529.20 and 864,063,694,529.11
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Solution
The fourth proportional to 2,475,729,813,756.70, 3,715,291,038,529.20 and 864,063,694,529.11 is: 1,296,687,580,027.63
Step by Step Solution
- Step 1: Write the proportion equation
2,475,729,813,756.70 : 3,715,291,038,529.20 = 864,063,694,529.11 : x - Step 2: Convert to fraction form
2,475,729,813,756.70/3,715,291,038,529.20 = 864,063,694,529.11/x - Step 3: Cross multiply
2,475,729,813,756.70x = 3,715,291,038,529.20 × 864,063,694,529.11 - Step 4: Simplify right side
2,475,729,813,756.70x = 3,210,248,101,002,434,484,109,312 - Step 5: Solve for x
x = 3,210,248,101,002,434,484,109,312/2,475,729,813,756.70 - Step 6: Final answer
x = 1,296,687,580,027.63
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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.