Finding the Fourth Proportional to 97,746,567,238.08, 146,540,728,519.85 and 30,559,228,285.99
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Solution
The fourth proportional to 97,746,567,238.08, 146,540,728,519.85 and 30,559,228,285.99 is: 45,814,105,830.70
Step by Step Solution
- Step 1: Write the proportion equation
97,746,567,238.08 : 146,540,728,519.85 = 30,559,228,285.99 : x - Step 2: Convert to fraction form
97,746,567,238.08/146,540,728,519.85 = 30,559,228,285.99/x - Step 3: Cross multiply
97,746,567,238.08x = 146,540,728,519.85 × 30,559,228,285.99 - Step 4: Simplify right side
97,746,567,238.08x = 4,478,171,576,032,649,281,536 - Step 5: Solve for x
x = 4,478,171,576,032,649,281,536/97,746,567,238.08 - Step 6: Final answer
x = 45,814,105,830.70
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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.