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Finding the Fourth Proportional to 645,957,712.80, 968,936,569.20 and 301,583,944.80

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Solution

The fourth proportional to 645,957,712.80, 968,936,569.20 and 301,583,944.80 is: 452,375,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,957,712.80 : 968,936,569.20 = 301,583,944.80 : x
  2. Step 2: Convert to fraction form
    645,957,712.80/968,936,569.20 = 301,583,944.80/x
  3. Step 3: Cross multiply
    645,957,712.80x = 968,936,569.20 × 301,583,944.80
  4. Step 4: Simplify right side
    645,957,712.80x = 292,215,712,800,314,176
  5. Step 5: Solve for x
    x = 292,215,712,800,314,176/645,957,712.80
  6. Step 6: Final answer
    x = 452,375,917.20

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1.5x scale

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.