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Finding the Fourth Proportional to 173,840,306,732.40, 260,760,460,098.60 and 173,840,306,732.40

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Solution

The fourth proportional to 173,840,306,732.40, 260,760,460,098.60 and 173,840,306,732.40 is: 260,760,460,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,306,732.40 : 260,760,460,098.60 = 173,840,306,732.40 : x
  2. Step 2: Convert to fraction form
    173,840,306,732.40/260,760,460,098.60 = 173,840,306,732.40/x
  3. Step 3: Cross multiply
    173,840,306,732.40x = 260,760,460,098.60 × 173,840,306,732.40
  4. Step 4: Simplify right side
    173,840,306,732.40x = 45,330,678,367,222,375,645,184
  5. Step 5: Solve for x
    x = 45,330,678,367,222,375,645,184/173,840,306,732.40
  6. Step 6: Final answer
    x = 260,760,460,098.60

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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.