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Finding the Fourth Proportional to 472,392,401.70, 708,588,602.55 and 440,107,360.95

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Solution

The fourth proportional to 472,392,401.70, 708,588,602.55 and 440,107,360.95 is: 660,161,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,401.70 : 708,588,602.55 = 440,107,360.95 : x
  2. Step 2: Convert to fraction form
    472,392,401.70/708,588,602.55 = 440,107,360.95/x
  3. Step 3: Cross multiply
    472,392,401.70x = 708,588,602.55 × 440,107,360.95
  4. Step 4: Simplify right side
    472,392,401.70x = 311,855,059,867,528,896
  5. Step 5: Solve for x
    x = 311,855,059,867,528,896/472,392,401.70
  6. Step 6: Final answer
    x = 660,161,041.43

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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.