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Finding the Fourth Proportional to 401,245,619.40, 601,868,429.10 and 401,245,619.40

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Solution

The fourth proportional to 401,245,619.40, 601,868,429.10 and 401,245,619.40 is: 601,868,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,245,619.40 : 601,868,429.10 = 401,245,619.40 : x
  2. Step 2: Convert to fraction form
    401,245,619.40/601,868,429.10 = 401,245,619.40/x
  3. Step 3: Cross multiply
    401,245,619.40x = 601,868,429.10 × 401,245,619.40
  4. Step 4: Simplify right side
    401,245,619.40x = 241,497,070,631,534,464
  5. Step 5: Solve for x
    x = 241,497,070,631,534,464/401,245,619.40
  6. Step 6: Final answer
    x = 601,868,429.10

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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.