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Finding the Fourth Proportional to 329,163,005.40, 460,223,545.80 and 329,163,005.40

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Solution

The fourth proportional to 329,163,005.40, 460,223,545.80 and 329,163,005.40 is: 460,223,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,163,005.40 : 460,223,545.80 = 329,163,005.40 : x
  2. Step 2: Convert to fraction form
    329,163,005.40/460,223,545.80 = 329,163,005.40/x
  3. Step 3: Cross multiply
    329,163,005.40x = 460,223,545.80 × 329,163,005.40
  4. Step 4: Simplify right side
    329,163,005.40x = 151,488,565,491,372,544
  5. Step 5: Solve for x
    x = 151,488,565,491,372,544/329,163,005.40
  6. Step 6: Final answer
    x = 460,223,545.80

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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.