Finding the Fourth Proportional to 9,865,421,027.54, 13,614,266,450.61 and 5,349,291,874.23
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Solution
The fourth proportional to 9,865,421,027.54, 13,614,266,450.61 and 5,349,291,874.23 is: 7,382,014,887.61
Step by Step Solution
- Step 1: Write the proportion equation
9,865,421,027.54 : 13,614,266,450.61 = 5,349,291,874.23 : x - Step 2: Convert to fraction form
9,865,421,027.54/13,614,266,450.61 = 5,349,291,874.23/x - Step 3: Cross multiply
9,865,421,027.54x = 13,614,266,450.61 × 5,349,291,874.23 - Step 4: Simplify right side
9,865,421,027.54x = 72,826,684,897,850,171,392 - Step 5: Solve for x
x = 72,826,684,897,850,171,392/9,865,421,027.54 - Step 6: Final answer
x = 7,382,014,887.61
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.