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Finding the Fourth Proportional to 510,597,937.92, 765,784,932.48 and 147,013,328.64

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Solution

The fourth proportional to 510,597,937.92, 765,784,932.48 and 147,013,328.64 is: 220,487,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,597,937.92 : 765,784,932.48 = 147,013,328.64 : x
  2. Step 2: Convert to fraction form
    510,597,937.92/765,784,932.48 = 147,013,328.64/x
  3. Step 3: Cross multiply
    510,597,937.92x = 765,784,932.48 × 147,013,328.64
  4. Step 4: Simplify right side
    510,597,937.92x = 112,580,591,946,242,448
  5. Step 5: Solve for x
    x = 112,580,591,946,242,448/510,597,937.92
  6. Step 6: Final answer
    x = 220,487,752.86

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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.