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Finding the Fourth Proportional to 401,178,851.90, 560,502,480.10 and 401,178,851.90

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Solution

The fourth proportional to 401,178,851.90, 560,502,480.10 and 401,178,851.90 is: 560,502,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,178,851.90 : 560,502,480.10 = 401,178,851.90 : x
  2. Step 2: Convert to fraction form
    401,178,851.90/560,502,480.10 = 401,178,851.90/x
  3. Step 3: Cross multiply
    401,178,851.90x = 560,502,480.10 × 401,178,851.90
  4. Step 4: Simplify right side
    401,178,851.90x = 224,861,741,453,620,608
  5. Step 5: Solve for x
    x = 224,861,741,453,620,608/401,178,851.90
  6. Step 6: Final answer
    x = 560,502,480.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.