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Finding the Fourth Proportional to 289,468,914.40, 406,331,434.40 and 289,468,914.40

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Solution

The fourth proportional to 289,468,914.40, 406,331,434.40 and 289,468,914.40 is: 406,331,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,468,914.40 : 406,331,434.40 = 289,468,914.40 : x
  2. Step 2: Convert to fraction form
    289,468,914.40/406,331,434.40 = 289,468,914.40/x
  3. Step 3: Cross multiply
    289,468,914.40x = 406,331,434.40 × 289,468,914.40
  4. Step 4: Simplify right side
    289,468,914.40x = 117,620,319,202,362,800
  5. Step 5: Solve for x
    x = 117,620,319,202,362,800/289,468,914.40
  6. Step 6: Final answer
    x = 406,331,434.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.