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Finding the Fourth Proportional to 524,018,619.65, 784,516,275.08 and 524,018,619.65

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Solution

The fourth proportional to 524,018,619.65, 784,516,275.08 and 524,018,619.65 is: 784,516,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,018,619.65 : 784,516,275.08 = 524,018,619.65 : x
  2. Step 2: Convert to fraction form
    524,018,619.65/784,516,275.08 = 524,018,619.65/x
  3. Step 3: Cross multiply
    524,018,619.65x = 784,516,275.08 × 524,018,619.65
  4. Step 4: Simplify right side
    524,018,619.65x = 411,101,135,557,761,216
  5. Step 5: Solve for x
    x = 411,101,135,557,761,216/524,018,619.65
  6. Step 6: Final answer
    x = 784,516,275.08

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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.