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Finding the Fourth Proportional to 313,035,496.40, 469,553,244.60 and 313,035,496.40

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Solution

The fourth proportional to 313,035,496.40, 469,553,244.60 and 313,035,496.40 is: 469,553,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,035,496.40 : 469,553,244.60 = 313,035,496.40 : x
  2. Step 2: Convert to fraction form
    313,035,496.40/469,553,244.60 = 313,035,496.40/x
  3. Step 3: Cross multiply
    313,035,496.40x = 469,553,244.60 × 313,035,496.40
  4. Step 4: Simplify right side
    313,035,496.40x = 146,986,833,009,591,616
  5. Step 5: Solve for x
    x = 146,986,833,009,591,616/313,035,496.40
  6. Step 6: Final answer
    x = 469,553,244.60

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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.