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Finding the Fourth Proportional to 848,282,652.30, 1,272,423,978.45 and 440,135,964.30

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Solution

The fourth proportional to 848,282,652.30, 1,272,423,978.45 and 440,135,964.30 is: 660,203,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,282,652.30 : 1,272,423,978.45 = 440,135,964.30 : x
  2. Step 2: Convert to fraction form
    848,282,652.30/1,272,423,978.45 = 440,135,964.30/x
  3. Step 3: Cross multiply
    848,282,652.30x = 1,272,423,978.45 × 440,135,964.30
  4. Step 4: Simplify right side
    848,282,652.30x = 560,039,554,753,533,184
  5. Step 5: Solve for x
    x = 560,039,554,753,533,184/848,282,652.30
  6. Step 6: Final answer
    x = 660,203,946.45

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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.