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Finding the Fourth Proportional to 470,115,458.40, 705,173,187.60 and 470,115,458.40

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Solution

The fourth proportional to 470,115,458.40, 705,173,187.60 and 470,115,458.40 is: 705,173,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,115,458.40 : 705,173,187.60 = 470,115,458.40 : x
  2. Step 2: Convert to fraction form
    470,115,458.40/705,173,187.60 = 470,115,458.40/x
  3. Step 3: Cross multiply
    470,115,458.40x = 705,173,187.60 × 470,115,458.40
  4. Step 4: Simplify right side
    470,115,458.40x = 331,512,816,339,963,200
  5. Step 5: Solve for x
    x = 331,512,816,339,963,200/470,115,458.40
  6. Step 6: Final answer
    x = 705,173,187.60

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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.