Finding the Fourth Proportional to 420,489,484,977.20, 630,734,234,752.60 and 102,133,538,534.61
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Solution
The fourth proportional to 420,489,484,977.20, 630,734,234,752.60 and 102,133,538,534.61 is: 153,200,309,571.82
Step by Step Solution
- Step 1: Write the proportion equation
420,489,484,977.20 : 630,734,234,752.60 = 102,133,538,534.61 : x - Step 2: Convert to fraction form
420,489,484,977.20/630,734,234,752.60 = 102,133,538,534.61/x - Step 3: Cross multiply
420,489,484,977.20x = 630,734,234,752.60 × 102,133,538,534.61 - Step 4: Simplify right side
420,489,484,977.20x = 64,419,119,270,202,416,562,176 - Step 5: Solve for x
x = 64,419,119,270,202,416,562,176/420,489,484,977.20 - Step 6: Final answer
x = 153,200,309,571.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.