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Finding the Fourth Proportional to 201,759,868.40, 302,002,073.40 and 144,364,240.40

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Solution

The fourth proportional to 201,759,868.40, 302,002,073.40 and 144,364,240.40 is: 216,090,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,759,868.40 : 302,002,073.40 = 144,364,240.40 : x
  2. Step 2: Convert to fraction form
    201,759,868.40/302,002,073.40 = 144,364,240.40/x
  3. Step 3: Cross multiply
    201,759,868.40x = 302,002,073.40 × 144,364,240.40
  4. Step 4: Simplify right side
    201,759,868.40x = 43,598,299,925,616,040
  5. Step 5: Solve for x
    x = 43,598,299,925,616,040/201,759,868.40
  6. Step 6: Final answer
    x = 216,090,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.