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Finding the Fourth Proportional to 271,686,643.70, 407,529,965.55 and 271,686,643.70

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Solution

The fourth proportional to 271,686,643.70, 407,529,965.55 and 271,686,643.70 is: 407,529,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,686,643.70 : 407,529,965.55 = 271,686,643.70 : x
  2. Step 2: Convert to fraction form
    271,686,643.70/407,529,965.55 = 271,686,643.70/x
  3. Step 3: Cross multiply
    271,686,643.70x = 407,529,965.55 × 271,686,643.70
  4. Step 4: Simplify right side
    271,686,643.70x = 110,720,448,547,456,128
  5. Step 5: Solve for x
    x = 110,720,448,547,456,128/271,686,643.70
  6. Step 6: Final answer
    x = 407,529,965.55

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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.