Finding the Fourth Proportional to 408,028,874,407.08, 563,260,425,688.82 and 263,583,449,558.70
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Solution
The fourth proportional to 408,028,874,407.08, 563,260,425,688.82 and 263,583,449,558.70 is: 363,861,813,011.89
Step by Step Solution
- Step 1: Write the proportion equation
408,028,874,407.08 : 563,260,425,688.82 = 263,583,449,558.70 : x - Step 2: Convert to fraction form
408,028,874,407.08/563,260,425,688.82 = 263,583,449,558.70/x - Step 3: Cross multiply
408,028,874,407.08x = 563,260,425,688.82 × 263,583,449,558.70 - Step 4: Simplify right side
408,028,874,407.08x = 148,466,126,002,960,973,430,784 - Step 5: Solve for x
x = 148,466,126,002,960,973,430,784/408,028,874,407.08 - Step 6: Final answer
x = 363,861,813,011.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.