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Finding the Fourth Proportional to 213,408,031.30, 299,577,459.50 and 213,408,031.30

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Solution

The fourth proportional to 213,408,031.30, 299,577,459.50 and 213,408,031.30 is: 299,577,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,408,031.30 : 299,577,459.50 = 213,408,031.30 : x
  2. Step 2: Convert to fraction form
    213,408,031.30/299,577,459.50 = 213,408,031.30/x
  3. Step 3: Cross multiply
    213,408,031.30x = 299,577,459.50 × 213,408,031.30
  4. Step 4: Simplify right side
    213,408,031.30x = 63,932,235,853,750,488
  5. Step 5: Solve for x
    x = 63,932,235,853,750,488/213,408,031.30
  6. Step 6: Final answer
    x = 299,577,459.50

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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.