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Finding the Fourth Proportional to 803,236,543.65, 1,204,854,815.48 and 803,236,543.65

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Solution

The fourth proportional to 803,236,543.65, 1,204,854,815.48 and 803,236,543.65 is: 1,204,854,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,236,543.65 : 1,204,854,815.48 = 803,236,543.65 : x
  2. Step 2: Convert to fraction form
    803,236,543.65/1,204,854,815.48 = 803,236,543.65/x
  3. Step 3: Cross multiply
    803,236,543.65x = 1,204,854,815.48 × 803,236,543.65
  4. Step 4: Simplify right side
    803,236,543.65x = 967,783,417,582,197,376
  5. Step 5: Solve for x
    x = 967,783,417,582,197,376/803,236,543.65
  6. Step 6: Final answer
    x = 1,204,854,815.48

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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.