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Finding the Fourth Proportional to 43,334,721,000.65, 65,002,081,500.98 and 43,334,721,000.65

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Solution

The fourth proportional to 43,334,721,000.65, 65,002,081,500.98 and 43,334,721,000.65 is: 65,002,081,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,334,721,000.65 : 65,002,081,500.98 = 43,334,721,000.65 : x
  2. Step 2: Convert to fraction form
    43,334,721,000.65/65,002,081,500.98 = 43,334,721,000.65/x
  3. Step 3: Cross multiply
    43,334,721,000.65x = 65,002,081,500.98 × 43,334,721,000.65
  4. Step 4: Simplify right side
    43,334,721,000.65x = 2,816,847,066,306,264,432,640
  5. Step 5: Solve for x
    x = 2,816,847,066,306,264,432,640/43,334,721,000.65
  6. Step 6: Final answer
    x = 65,002,081,500.98

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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.