Finding the Fourth Proportional to 146,214,470,234.34, 201,745,753,576.20 and 84,413,968,967.70
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Solution
The fourth proportional to 146,214,470,234.34, 201,745,753,576.20 and 84,413,968,967.70 is: 116,473,832,955.47
Step by Step Solution
- Step 1: Write the proportion equation
146,214,470,234.34 : 201,745,753,576.20 = 84,413,968,967.70 : x - Step 2: Convert to fraction form
146,214,470,234.34/201,745,753,576.20 = 84,413,968,967.70/x - Step 3: Cross multiply
146,214,470,234.34x = 201,745,753,576.20 × 84,413,968,967.70 - Step 4: Simplify right side
146,214,470,234.34x = 17,030,159,781,746,599,526,400 - Step 5: Solve for x
x = 17,030,159,781,746,599,526,400/146,214,470,234.34 - Step 6: Final answer
x = 116,473,832,955.47
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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.