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Finding the Fourth Proportional to 483,263,999.65, 724,895,999.48 and 483,263,999.65

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Solution

The fourth proportional to 483,263,999.65, 724,895,999.48 and 483,263,999.65 is: 724,895,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,263,999.65 : 724,895,999.48 = 483,263,999.65 : x
  2. Step 2: Convert to fraction form
    483,263,999.65/724,895,999.48 = 483,263,999.65/x
  3. Step 3: Cross multiply
    483,263,999.65x = 724,895,999.48 × 483,263,999.65
  4. Step 4: Simplify right side
    483,263,999.65x = 350,316,140,036,572,800
  5. Step 5: Solve for x
    x = 350,316,140,036,572,800/483,263,999.65
  6. Step 6: Final answer
    x = 724,895,999.48

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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.