Finding the Fourth Proportional to 4,526,247,143,994, 6,246,246,429,314.80 and 2,575,282,847,598.80
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Solution
The fourth proportional to 4,526,247,143,994, 6,246,246,429,314.80 and 2,575,282,847,598.80 is: 3,553,904,764,708.75
Step by Step Solution
- Step 1: Write the proportion equation
4,526,247,143,994 : 6,246,246,429,314.80 = 2,575,282,847,598.80 : x - Step 2: Convert to fraction form
4,526,247,143,994/6,246,246,429,314.80 = 2,575,282,847,598.80/x - Step 3: Cross multiply
4,526,247,143,994x = 6,246,246,429,314.80 × 2,575,282,847,598.80 - Step 4: Simplify right side
4,526,247,143,994x = 16,085,851,291,289,653,765,734,400 - Step 5: Solve for x
x = 16,085,851,291,289,653,765,734,400/4,526,247,143,994 - Step 6: Final answer
x = 3,553,904,764,708.75
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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.