Finding the Fourth Proportional to 284,849,369,259.22, 427,183,338,890.74 and 93,577,008,585.62
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Solution
The fourth proportional to 284,849,369,259.22, 427,183,338,890.74 and 93,577,008,585.62 is: 140,335,711,730.62
Step by Step Solution
- Step 1: Write the proportion equation
284,849,369,259.22 : 427,183,338,890.74 = 93,577,008,585.62 : x - Step 2: Convert to fraction form
284,849,369,259.22/427,183,338,890.74 = 93,577,008,585.62/x - Step 3: Cross multiply
284,849,369,259.22x = 427,183,338,890.74 × 93,577,008,585.62 - Step 4: Simplify right side
284,849,369,259.22x = 39,974,538,971,010,459,238,400 - Step 5: Solve for x
x = 39,974,538,971,010,459,238,400/284,849,369,259.22 - Step 6: Final answer
x = 140,335,711,730.62
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1.5x scale
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.