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Finding the Fourth Proportional to 653,583,134.52, 901,976,633.68 and 367,564,660.71

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Solution

The fourth proportional to 653,583,134.52, 901,976,633.68 and 367,564,660.71 is: 507,257,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,583,134.52 : 901,976,633.68 = 367,564,660.71 : x
  2. Step 2: Convert to fraction form
    653,583,134.52/901,976,633.68 = 367,564,660.71/x
  3. Step 3: Cross multiply
    653,583,134.52x = 901,976,633.68 × 367,564,660.71
  4. Step 4: Simplify right side
    653,583,134.52x = 331,534,735,323,315,840
  5. Step 5: Solve for x
    x = 331,534,735,323,315,840/653,583,134.52
  6. Step 6: Final answer
    x = 507,257,176.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.