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Finding the Fourth Proportional to 401,178,840.40, 560,502,464 and 401,178,840.40

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Solution

The fourth proportional to 401,178,840.40, 560,502,464 and 401,178,840.40 is: 560,502,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,178,840.40 : 560,502,464 = 401,178,840.40 : x
  2. Step 2: Convert to fraction form
    401,178,840.40/560,502,464 = 401,178,840.40/x
  3. Step 3: Cross multiply
    401,178,840.40x = 560,502,464 × 401,178,840.40
  4. Step 4: Simplify right side
    401,178,840.40x = 224,861,728,548,862,720
  5. Step 5: Solve for x
    x = 224,861,728,548,862,720/401,178,840.40
  6. Step 6: Final answer
    x = 560,502,464

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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.