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Finding the Fourth Proportional to 472,396,063.80, 708,594,095.70 and 429,349,342.80

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Solution

The fourth proportional to 472,396,063.80, 708,594,095.70 and 429,349,342.80 is: 644,024,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,063.80 : 708,594,095.70 = 429,349,342.80 : x
  2. Step 2: Convert to fraction form
    472,396,063.80/708,594,095.70 = 429,349,342.80/x
  3. Step 3: Cross multiply
    472,396,063.80x = 708,594,095.70 × 429,349,342.80
  4. Step 4: Simplify right side
    472,396,063.80x = 304,234,409,300,755,328
  5. Step 5: Solve for x
    x = 304,234,409,300,755,328/472,396,063.80
  6. Step 6: Final answer
    x = 644,024,014.20

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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.