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Finding the Fourth Proportional to 463,854,834, 640,103,360.76 and 255,009,456

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Solution

The fourth proportional to 463,854,834, 640,103,360.76 and 255,009,456 is: 351,904,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,854,834 : 640,103,360.76 = 255,009,456 : x
  2. Step 2: Convert to fraction form
    463,854,834/640,103,360.76 = 255,009,456/x
  3. Step 3: Cross multiply
    463,854,834x = 640,103,360.76 × 255,009,456
  4. Step 4: Simplify right side
    463,854,834x = 163,232,409,811,179,360
  5. Step 5: Solve for x
    x = 163,232,409,811,179,360/463,854,834
  6. Step 6: Final answer
    x = 351,904,082.58

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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.