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Finding the Fourth Proportional to 472,464,930.40, 659,838,471.20 and 472,464,930.40

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Solution

The fourth proportional to 472,464,930.40, 659,838,471.20 and 472,464,930.40 is: 659,838,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,464,930.40 : 659,838,471.20 = 472,464,930.40 : x
  2. Step 2: Convert to fraction form
    472,464,930.40/659,838,471.20 = 472,464,930.40/x
  3. Step 3: Cross multiply
    472,464,930.40x = 659,838,471.20 × 472,464,930.40
  4. Step 4: Simplify right side
    472,464,930.40x = 311,750,537,370,750,400
  5. Step 5: Solve for x
    x = 311,750,537,370,750,400/472,464,930.40
  6. Step 6: Final answer
    x = 659,838,471.20

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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.