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Finding the Fourth Proportional to 401,544,028.80, 601,182,302.40 and 401,544,028.80

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Solution

The fourth proportional to 401,544,028.80, 601,182,302.40 and 401,544,028.80 is: 601,182,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,544,028.80 : 601,182,302.40 = 401,544,028.80 : x
  2. Step 2: Convert to fraction form
    401,544,028.80/601,182,302.40 = 401,544,028.80/x
  3. Step 3: Cross multiply
    401,544,028.80x = 601,182,302.40 × 401,544,028.80
  4. Step 4: Simplify right side
    401,544,028.80x = 241,401,163,748,955,904
  5. Step 5: Solve for x
    x = 241,401,163,748,955,904/401,544,028.80
  6. Step 6: Final answer
    x = 601,182,302.40

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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.