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Finding the Fourth Proportional to 505,513,223.80, 708,674,028.20 and 505,513,223.80

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Solution

The fourth proportional to 505,513,223.80, 708,674,028.20 and 505,513,223.80 is: 708,674,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,513,223.80 : 708,674,028.20 = 505,513,223.80 : x
  2. Step 2: Convert to fraction form
    505,513,223.80/708,674,028.20 = 505,513,223.80/x
  3. Step 3: Cross multiply
    505,513,223.80x = 708,674,028.20 × 505,513,223.80
  4. Step 4: Simplify right side
    505,513,223.80x = 358,244,092,618,714,112
  5. Step 5: Solve for x
    x = 358,244,092,618,714,112/505,513,223.80
  6. Step 6: Final answer
    x = 708,674,028.20

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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.