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Finding the Fourth Proportional to 505,521,796.30, 708,686,029.70 and 505,521,796.30

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Solution

The fourth proportional to 505,521,796.30, 708,686,029.70 and 505,521,796.30 is: 708,686,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,521,796.30 : 708,686,029.70 = 505,521,796.30 : x
  2. Step 2: Convert to fraction form
    505,521,796.30/708,686,029.70 = 505,521,796.30/x
  3. Step 3: Cross multiply
    505,521,796.30x = 708,686,029.70 × 505,521,796.30
  4. Step 4: Simplify right side
    505,521,796.30x = 358,256,234,746,659,200
  5. Step 5: Solve for x
    x = 358,256,234,746,659,200/505,521,796.30
  6. Step 6: Final answer
    x = 708,686,029.70

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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.