Finding the Fourth Proportional to 340,402,208,756.10, 510,603,313,134.14 and 201,088,139,252.10
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Solution
The fourth proportional to 340,402,208,756.10, 510,603,313,134.14 and 201,088,139,252.10 is: 301,632,208,878.14
Step by Step Solution
- Step 1: Write the proportion equation
340,402,208,756.10 : 510,603,313,134.14 = 201,088,139,252.10 : x - Step 2: Convert to fraction form
340,402,208,756.10/510,603,313,134.14 = 201,088,139,252.10/x - Step 3: Cross multiply
340,402,208,756.10x = 510,603,313,134.14 × 201,088,139,252.10 - Step 4: Simplify right side
340,402,208,756.10x = 102,676,270,134,101,576,515,584 - Step 5: Solve for x
x = 102,676,270,134,101,576,515,584/340,402,208,756.10 - Step 6: Final answer
x = 301,632,208,878.14
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Similar ratio
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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.