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Finding the Fourth Proportional to 401,178,851.65, 560,502,479.75 and 401,178,851.65

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Solution

The fourth proportional to 401,178,851.65, 560,502,479.75 and 401,178,851.65 is: 560,502,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,178,851.65 : 560,502,479.75 = 401,178,851.65 : x
  2. Step 2: Convert to fraction form
    401,178,851.65/560,502,479.75 = 401,178,851.65/x
  3. Step 3: Cross multiply
    401,178,851.65x = 560,502,479.75 × 401,178,851.65
  4. Step 4: Simplify right side
    401,178,851.65x = 224,861,741,173,082,368
  5. Step 5: Solve for x
    x = 224,861,741,173,082,368/401,178,851.65
  6. Step 6: Final answer
    x = 560,502,479.75

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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.