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Finding the Fourth Proportional to 475,471,228.15, 666,566,712.05 and 475,471,228.15

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Solution

The fourth proportional to 475,471,228.15, 666,566,712.05 and 475,471,228.15 is: 666,566,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,471,228.15 : 666,566,712.05 = 475,471,228.15 : x
  2. Step 2: Convert to fraction form
    475,471,228.15/666,566,712.05 = 475,471,228.15/x
  3. Step 3: Cross multiply
    475,471,228.15x = 666,566,712.05 × 475,471,228.15
  4. Step 4: Simplify right side
    475,471,228.15x = 316,933,293,222,320,896
  5. Step 5: Solve for x
    x = 316,933,293,222,320,896/475,471,228.15
  6. Step 6: Final answer
    x = 666,566,712.05

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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.