Finding the Fourth Proportional to 106,102,742,138.80, 146,434,623,816.84 and 60,388,132,993.68
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Solution
The fourth proportional to 106,102,742,138.80, 146,434,623,816.84 and 60,388,132,993.68 is: 83,342,931,197.41
Step by Step Solution
- Step 1: Write the proportion equation
106,102,742,138.80 : 146,434,623,816.84 = 60,388,132,993.68 : x - Step 2: Convert to fraction form
106,102,742,138.80/146,434,623,816.84 = 60,388,132,993.68/x - Step 3: Cross multiply
106,102,742,138.80x = 146,434,623,816.84 × 60,388,132,993.68 - Step 4: Simplify right side
106,102,742,138.80x = 8,842,913,537,930,834,214,912 - Step 5: Solve for x
x = 8,842,913,537,930,834,214,912/106,102,742,138.80 - Step 6: Final answer
x = 83,342,931,197.41
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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.