Finding the Fourth Proportional to 193,285,969,478.40, 266,742,905,002.23 and 107,646,921,490.80
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Solution
The fourth proportional to 193,285,969,478.40, 266,742,905,002.23 and 107,646,921,490.80 is: 148,557,355,872.70
Step by Step Solution
- Step 1: Write the proportion equation
193,285,969,478.40 : 266,742,905,002.23 = 107,646,921,490.80 : x - Step 2: Convert to fraction form
193,285,969,478.40/266,742,905,002.23 = 107,646,921,490.80/x - Step 3: Cross multiply
193,285,969,478.40x = 266,742,905,002.23 × 107,646,921,490.80 - Step 4: Simplify right side
193,285,969,478.40x = 28,714,052,553,002,977,329,152 - Step 5: Solve for x
x = 28,714,052,553,002,977,329,152/193,285,969,478.40 - Step 6: Final answer
x = 148,557,355,872.70
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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.