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Finding the Fourth Proportional to 418,924,224,000.65, 628,386,336,001 and 418,924,224,000.65

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Solution

The fourth proportional to 418,924,224,000.65, 628,386,336,001 and 418,924,224,000.65 is: 628,386,336,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,924,224,000.65 : 628,386,336,001 = 418,924,224,000.65 : x
  2. Step 2: Convert to fraction form
    418,924,224,000.65/628,386,336,001 = 418,924,224,000.65/x
  3. Step 3: Cross multiply
    418,924,224,000.65x = 628,386,336,001 × 418,924,224,000.65
  4. Step 4: Simplify right side
    418,924,224,000.65x = 263,246,258,181,830,652,985,344
  5. Step 5: Solve for x
    x = 263,246,258,181,830,652,985,344/418,924,224,000.65
  6. Step 6: Final answer
    x = 628,386,336,001

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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.