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Finding the Fourth Proportional to 472,392,457.80, 708,588,686.70 and 427,042,825.80

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Solution

The fourth proportional to 472,392,457.80, 708,588,686.70 and 427,042,825.80 is: 640,564,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,457.80 : 708,588,686.70 = 427,042,825.80 : x
  2. Step 2: Convert to fraction form
    472,392,457.80/708,588,686.70 = 427,042,825.80/x
  3. Step 3: Cross multiply
    472,392,457.80x = 708,588,686.70 × 427,042,825.80
  4. Step 4: Simplify right side
    472,392,457.80x = 302,597,715,098,278,912
  5. Step 5: Solve for x
    x = 302,597,715,098,278,912/472,392,457.80
  6. Step 6: Final answer
    x = 640,564,238.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.