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Finding the Fourth Proportional to 463,854,816, 640,103,335.92 and 255,009,438

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Solution

The fourth proportional to 463,854,816, 640,103,335.92 and 255,009,438 is: 351,904,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,854,816 : 640,103,335.92 = 255,009,438 : x
  2. Step 2: Convert to fraction form
    463,854,816/640,103,335.92 = 255,009,438/x
  3. Step 3: Cross multiply
    463,854,816x = 640,103,335.92 × 255,009,438
  4. Step 4: Simplify right side
    463,854,816x = 163,232,391,954,884,416
  5. Step 5: Solve for x
    x = 163,232,391,954,884,416/463,854,816
  6. Step 6: Final answer
    x = 351,904,057.74

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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.