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Finding the Fourth Proportional to 502,759,224,000.20, 754,138,836,000.30 and 502,759,224,000.20

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Solution

The fourth proportional to 502,759,224,000.20, 754,138,836,000.30 and 502,759,224,000.20 is: 754,138,836,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,759,224,000.20 : 754,138,836,000.30 = 502,759,224,000.20 : x
  2. Step 2: Convert to fraction form
    502,759,224,000.20/754,138,836,000.30 = 502,759,224,000.20/x
  3. Step 3: Cross multiply
    502,759,224,000.20x = 754,138,836,000.30 × 502,759,224,000.20
  4. Step 4: Simplify right side
    502,759,224,000.20x = 379,150,255,975,924,930,445,312
  5. Step 5: Solve for x
    x = 379,150,255,975,924,930,445,312/502,759,224,000.20
  6. Step 6: Final answer
    x = 754,138,836,000.30

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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.