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Finding the Fourth Proportional to 146,294,862.40, 204,544,068.80 and 146,294,862.40

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Solution

The fourth proportional to 146,294,862.40, 204,544,068.80 and 146,294,862.40 is: 204,544,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,294,862.40 : 204,544,068.80 = 146,294,862.40 : x
  2. Step 2: Convert to fraction form
    146,294,862.40/204,544,068.80 = 146,294,862.40/x
  3. Step 3: Cross multiply
    146,294,862.40x = 204,544,068.80 × 146,294,862.40
  4. Step 4: Simplify right side
    146,294,862.40x = 29,923,746,399,832,136
  5. Step 5: Solve for x
    x = 29,923,746,399,832,136/146,294,862.40
  6. Step 6: Final answer
    x = 204,544,068.80

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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.