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Finding the Fourth Proportional to 417,166,475.70, 585,242,389.50 and 417,166,475.70

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Solution

The fourth proportional to 417,166,475.70, 585,242,389.50 and 417,166,475.70 is: 585,242,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,166,475.70 : 585,242,389.50 = 417,166,475.70 : x
  2. Step 2: Convert to fraction form
    417,166,475.70/585,242,389.50 = 417,166,475.70/x
  3. Step 3: Cross multiply
    417,166,475.70x = 585,242,389.50 × 417,166,475.70
  4. Step 4: Simplify right side
    417,166,475.70x = 244,143,505,057,961,664
  5. Step 5: Solve for x
    x = 244,143,505,057,961,664/417,166,475.70
  6. Step 6: Final answer
    x = 585,242,389.50

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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.