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Finding the Fourth Proportional to 201,794,823.60, 302,692,235.40 and 150,776,487.60

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Solution

The fourth proportional to 201,794,823.60, 302,692,235.40 and 150,776,487.60 is: 226,164,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794,823.60 : 302,692,235.40 = 150,776,487.60 : x
  2. Step 2: Convert to fraction form
    201,794,823.60/302,692,235.40 = 150,776,487.60/x
  3. Step 3: Cross multiply
    201,794,823.60x = 302,692,235.40 × 150,776,487.60
  4. Step 4: Simplify right side
    201,794,823.60x = 45,638,872,077,404,376
  5. Step 5: Solve for x
    x = 45,638,872,077,404,376/201,794,823.60
  6. Step 6: Final answer
    x = 226,164,731.40

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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.