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Finding the Fourth Proportional to 472,392,449.70, 708,588,674.55 and 414,996,821.70

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Solution

The fourth proportional to 472,392,449.70, 708,588,674.55 and 414,996,821.70 is: 622,495,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,449.70 : 708,588,674.55 = 414,996,821.70 : x
  2. Step 2: Convert to fraction form
    472,392,449.70/708,588,674.55 = 414,996,821.70/x
  3. Step 3: Cross multiply
    472,392,449.70x = 708,588,674.55 × 414,996,821.70
  4. Step 4: Simplify right side
    472,392,449.70x = 294,062,047,830,865,664
  5. Step 5: Solve for x
    x = 294,062,047,830,865,664/472,392,449.70
  6. Step 6: Final answer
    x = 622,495,232.55

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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.