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Finding the Fourth Proportional to 173,840,306,727.90, 260,760,460,091.85 and 173,840,306,727.90

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Solution

The fourth proportional to 173,840,306,727.90, 260,760,460,091.85 and 173,840,306,727.90 is: 260,760,460,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,306,727.90 : 260,760,460,091.85 = 173,840,306,727.90 : x
  2. Step 2: Convert to fraction form
    173,840,306,727.90/260,760,460,091.85 = 173,840,306,727.90/x
  3. Step 3: Cross multiply
    173,840,306,727.90x = 260,760,460,091.85 × 173,840,306,727.90
  4. Step 4: Simplify right side
    173,840,306,727.90x = 45,330,678,364,875,528,339,456
  5. Step 5: Solve for x
    x = 45,330,678,364,875,528,339,456/173,840,306,727.90
  6. Step 6: Final answer
    x = 260,760,460,091.85

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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.