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Finding the Fourth Proportional to 535,491,029.10, 803,236,543.65 and 535,491,029.10

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Solution

The fourth proportional to 535,491,029.10, 803,236,543.65 and 535,491,029.10 is: 803,236,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,491,029.10 : 803,236,543.65 = 535,491,029.10 : x
  2. Step 2: Convert to fraction form
    535,491,029.10/803,236,543.65 = 535,491,029.10/x
  3. Step 3: Cross multiply
    535,491,029.10x = 803,236,543.65 × 535,491,029.10
  4. Step 4: Simplify right side
    535,491,029.10x = 430,125,963,369,865,600
  5. Step 5: Solve for x
    x = 430,125,963,369,865,600/535,491,029.10
  6. Step 6: Final answer
    x = 803,236,543.65

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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.