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Finding the Fourth Proportional to 323,670,906.40, 485,506,359.60 and 323,670,906.40

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Solution

The fourth proportional to 323,670,906.40, 485,506,359.60 and 323,670,906.40 is: 485,506,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,670,906.40 : 485,506,359.60 = 323,670,906.40 : x
  2. Step 2: Convert to fraction form
    323,670,906.40/485,506,359.60 = 323,670,906.40/x
  3. Step 3: Cross multiply
    323,670,906.40x = 485,506,359.60 × 323,670,906.40
  4. Step 4: Simplify right side
    323,670,906.40x = 157,144,283,474,696,352
  5. Step 5: Solve for x
    x = 157,144,283,474,696,352/323,670,906.40
  6. Step 6: Final answer
    x = 485,506,359.60

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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.