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Finding the Fourth Proportional to 506,784,465.64, 699,364,481.38 and 274,997,457.64

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Solution

The fourth proportional to 506,784,465.64, 699,364,481.38 and 274,997,457.64 is: 379,497,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,784,465.64 : 699,364,481.38 = 274,997,457.64 : x
  2. Step 2: Convert to fraction form
    506,784,465.64/699,364,481.38 = 274,997,457.64/x
  3. Step 3: Cross multiply
    506,784,465.64x = 699,364,481.38 × 274,997,457.64
  4. Step 4: Simplify right side
    506,784,465.64x = 192,323,454,343,217,120
  5. Step 5: Solve for x
    x = 192,323,454,343,217,120/506,784,465.64
  6. Step 6: Final answer
    x = 379,497,532.74

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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.