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Finding the Fourth Proportional to 597,924,905.60, 896,887,358.40 and 597,924,905.60

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Solution

The fourth proportional to 597,924,905.60, 896,887,358.40 and 597,924,905.60 is: 896,887,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,924,905.60 : 896,887,358.40 = 597,924,905.60 : x
  2. Step 2: Convert to fraction form
    597,924,905.60/896,887,358.40 = 597,924,905.60/x
  3. Step 3: Cross multiply
    597,924,905.60x = 896,887,358.40 × 597,924,905.60
  4. Step 4: Simplify right side
    597,924,905.60x = 536,271,289,105,153,344
  5. Step 5: Solve for x
    x = 536,271,289,105,153,344/597,924,905.60
  6. Step 6: Final answer
    x = 896,887,358.40

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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.