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Finding the Fourth Proportional to 364,156,989.30, 546,235,483.95 and 364,156,989.30

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Solution

The fourth proportional to 364,156,989.30, 546,235,483.95 and 364,156,989.30 is: 546,235,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,156,989.30 : 546,235,483.95 = 364,156,989.30 : x
  2. Step 2: Convert to fraction form
    364,156,989.30/546,235,483.95 = 364,156,989.30/x
  3. Step 3: Cross multiply
    364,156,989.30x = 546,235,483.95 × 364,156,989.30
  4. Step 4: Simplify right side
    364,156,989.30x = 198,915,469,284,060,480
  5. Step 5: Solve for x
    x = 198,915,469,284,060,480/364,156,989.30
  6. Step 6: Final answer
    x = 546,235,483.95

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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.