Finding the Fourth Proportional to 492,011,784,164.48, 737,211,750,354.90 and 262,034,949,416.84
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Solution
The fourth proportional to 492,011,784,164.48, 737,211,750,354.90 and 262,034,949,416.84 is: 392,623,205,238.45
Step by Step Solution
- Step 1: Write the proportion equation
492,011,784,164.48 : 737,211,750,354.90 = 262,034,949,416.84 : x - Step 2: Convert to fraction form
492,011,784,164.48/737,211,750,354.90 = 262,034,949,416.84/x - Step 3: Cross multiply
492,011,784,164.48x = 737,211,750,354.90 × 262,034,949,416.84 - Step 4: Simplify right side
492,011,784,164.48x = 193,175,243,713,746,315,509,760 - Step 5: Solve for x
x = 193,175,243,713,746,315,509,760/492,011,784,164.48 - Step 6: Final answer
x = 392,623,205,238.45
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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.