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Finding the Fourth Proportional to 472,392,015.45, 659,818,271.55 and 472,392,015.45

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Solution

The fourth proportional to 472,392,015.45, 659,818,271.55 and 472,392,015.45 is: 659,818,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,015.45 : 659,818,271.55 = 472,392,015.45 : x
  2. Step 2: Convert to fraction form
    472,392,015.45/659,818,271.55 = 472,392,015.45/x
  3. Step 3: Cross multiply
    472,392,015.45x = 659,818,271.55 × 472,392,015.45
  4. Step 4: Simplify right side
    472,392,015.45x = 311,692,883,128,239,872
  5. Step 5: Solve for x
    x = 311,692,883,128,239,872/472,392,015.45
  6. Step 6: Final answer
    x = 659,818,271.55

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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.