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Finding the Fourth Proportional to 564,992,371.40, 847,161,352.02 and 191,375,037.86

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Solution

The fourth proportional to 564,992,371.40, 847,161,352.02 and 191,375,037.86 is: 286,951,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,992,371.40 : 847,161,352.02 = 191,375,037.86 : x
  2. Step 2: Convert to fraction form
    564,992,371.40/847,161,352.02 = 191,375,037.86/x
  3. Step 3: Cross multiply
    564,992,371.40x = 847,161,352.02 × 191,375,037.86
  4. Step 4: Simplify right side
    564,992,371.40x = 162,125,535,814,238,368
  5. Step 5: Solve for x
    x = 162,125,535,814,238,368/564,992,371.40
  6. Step 6: Final answer
    x = 286,951,725.41

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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.