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Finding the Fourth Proportional to 201,623,728.10, 302,435,592.15 and 201,623,728.10

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Solution

The fourth proportional to 201,623,728.10, 302,435,592.15 and 201,623,728.10 is: 302,435,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,623,728.10 : 302,435,592.15 = 201,623,728.10 : x
  2. Step 2: Convert to fraction form
    201,623,728.10/302,435,592.15 = 201,623,728.10/x
  3. Step 3: Cross multiply
    201,623,728.10x = 302,435,592.15 × 201,623,728.10
  4. Step 4: Simplify right side
    201,623,728.10x = 60,978,191,599,414,088
  5. Step 5: Solve for x
    x = 60,978,191,599,414,088/201,623,728.10
  6. Step 6: Final answer
    x = 302,435,592.15

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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.