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Finding the Fourth Proportional to 401,178,851.40, 560,502,479.40 and 401,178,851.40

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Solution

The fourth proportional to 401,178,851.40, 560,502,479.40 and 401,178,851.40 is: 560,502,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,178,851.40 : 560,502,479.40 = 401,178,851.40 : x
  2. Step 2: Convert to fraction form
    401,178,851.40/560,502,479.40 = 401,178,851.40/x
  3. Step 3: Cross multiply
    401,178,851.40x = 560,502,479.40 × 401,178,851.40
  4. Step 4: Simplify right side
    401,178,851.40x = 224,861,740,892,544,128
  5. Step 5: Solve for x
    x = 224,861,740,892,544,128/401,178,851.40
  6. Step 6: Final answer
    x = 560,502,479.40

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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.