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Finding the Fourth Proportional to 10,254,864.65, 15,382,296.98 and 10,254,864.65

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Solution

The fourth proportional to 10,254,864.65, 15,382,296.98 and 10,254,864.65 is: 15,382,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254,864.65 : 15,382,296.98 = 10,254,864.65 : x
  2. Step 2: Convert to fraction form
    10,254,864.65/15,382,296.98 = 10,254,864.65/x
  3. Step 3: Cross multiply
    10,254,864.65x = 15,382,296.98 × 10,254,864.65
  4. Step 4: Simplify right side
    10,254,864.65x = 157,743,373,484,729.44
  5. Step 5: Solve for x
    x = 157,743,373,484,729.44/10,254,864.65
  6. Step 6: Final answer
    x = 15,382,296.98

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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.