Finding the Fourth Proportional to 306,235,358,864.47, 459,353,038,296.70 and 306,235,358,864.47
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Solution
The fourth proportional to 306,235,358,864.47, 459,353,038,296.70 and 306,235,358,864.47 is: 459,353,038,296.70
Step by Step Solution
- Step 1: Write the proportion equation
306,235,358,864.47 : 459,353,038,296.70 = 306,235,358,864.47 : x - Step 2: Convert to fraction form
306,235,358,864.47/459,353,038,296.70 = 306,235,358,864.47/x - Step 3: Cross multiply
306,235,358,864.47x = 459,353,038,296.70 × 306,235,358,864.47 - Step 4: Simplify right side
306,235,358,864.47x = 140,670,142,528,274,546,294,784 - Step 5: Solve for x
x = 140,670,142,528,274,546,294,784/306,235,358,864.47 - Step 6: Final answer
x = 459,353,038,296.70
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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.