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Finding the Fourth Proportional to 472,398,533.80, 708,597,800.70 and 278,209,992.40

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Solution

The fourth proportional to 472,398,533.80, 708,597,800.70 and 278,209,992.40 is: 417,314,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398,533.80 : 708,597,800.70 = 278,209,992.40 : x
  2. Step 2: Convert to fraction form
    472,398,533.80/708,597,800.70 = 278,209,992.40/x
  3. Step 3: Cross multiply
    472,398,533.80x = 708,597,800.70 × 278,209,992.40
  4. Step 4: Simplify right side
    472,398,533.80x = 197,138,988,747,403,712
  5. Step 5: Solve for x
    x = 197,138,988,747,403,712/472,398,533.80
  6. Step 6: Final answer
    x = 417,314,988.60

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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.