Finding the Fourth Proportional to 567,716,913,471.80, 851,577,553,698.90 and 137,453,281,406.99
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Solution
The fourth proportional to 567,716,913,471.80, 851,577,553,698.90 and 137,453,281,406.99 is: 206,180,450,768.38
Step by Step Solution
- Step 1: Write the proportion equation
567,716,913,471.80 : 851,577,553,698.90 = 137,453,281,406.99 : x - Step 2: Convert to fraction form
567,716,913,471.80/851,577,553,698.90 = 137,453,281,406.99/x - Step 3: Cross multiply
567,716,913,471.80x = 851,577,553,698.90 × 137,453,281,406.99 - Step 4: Simplify right side
567,716,913,471.80x = 117,052,129,128,451,038,773,248 - Step 5: Solve for x
x = 117,052,129,128,451,038,773,248/567,716,913,471.80 - Step 6: Final answer
x = 206,180,450,768.38
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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.