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Finding the Fourth Proportional to 472,465,007.90, 659,838,579.70 and 472,465,007.90

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Solution

The fourth proportional to 472,465,007.90, 659,838,579.70 and 472,465,007.90 is: 659,838,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,465,007.90 : 659,838,579.70 = 472,465,007.90 : x
  2. Step 2: Convert to fraction form
    472,465,007.90/659,838,579.70 = 472,465,007.90/x
  3. Step 3: Cross multiply
    472,465,007.90x = 659,838,579.70 × 472,465,007.90
  4. Step 4: Simplify right side
    472,465,007.90x = 311,750,639,770,685,312
  5. Step 5: Solve for x
    x = 311,750,639,770,685,312/472,465,007.90
  6. Step 6: Final answer
    x = 659,838,579.70

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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.