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Finding the Fourth Proportional to 176,289,647.60, 264,434,471.40 and 156,638,140.40

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Solution

The fourth proportional to 176,289,647.60, 264,434,471.40 and 156,638,140.40 is: 234,957,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289,647.60 : 264,434,471.40 = 156,638,140.40 : x
  2. Step 2: Convert to fraction form
    176,289,647.60/264,434,471.40 = 156,638,140.40/x
  3. Step 3: Cross multiply
    176,289,647.60x = 264,434,471.40 × 156,638,140.40
  4. Step 4: Simplify right side
    176,289,647.60x = 41,420,523,857,752,984
  5. Step 5: Solve for x
    x = 41,420,523,857,752,984/176,289,647.60
  6. Step 6: Final answer
    x = 234,957,210.60

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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.