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Finding the Fourth Proportional to 472,396,060.80, 708,594,091.20 and 429,349,339.80

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Solution

The fourth proportional to 472,396,060.80, 708,594,091.20 and 429,349,339.80 is: 644,024,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,060.80 : 708,594,091.20 = 429,349,339.80 : x
  2. Step 2: Convert to fraction form
    472,396,060.80/708,594,091.20 = 429,349,339.80/x
  3. Step 3: Cross multiply
    472,396,060.80x = 708,594,091.20 × 429,349,339.80
  4. Step 4: Simplify right side
    472,396,060.80x = 304,234,405,242,900,992
  5. Step 5: Solve for x
    x = 304,234,405,242,900,992/472,396,060.80
  6. Step 6: Final answer
    x = 644,024,009.70

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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.