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Finding the Fourth Proportional to 535,491,301.60, 803,236,952.40 and 535,491,301.60

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Solution

The fourth proportional to 535,491,301.60, 803,236,952.40 and 535,491,301.60 is: 803,236,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,491,301.60 : 803,236,952.40 = 535,491,301.60 : x
  2. Step 2: Convert to fraction form
    535,491,301.60/803,236,952.40 = 535,491,301.60/x
  3. Step 3: Cross multiply
    535,491,301.60x = 803,236,952.40 × 535,491,301.60
  4. Step 4: Simplify right side
    535,491,301.60x = 430,126,401,133,893,248
  5. Step 5: Solve for x
    x = 430,126,401,133,893,248/535,491,301.60
  6. Step 6: Final answer
    x = 803,236,952.40

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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.