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Finding the Fourth Proportional to 472,392,476.70, 708,588,715.05 and 414,996,848.70

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Solution

The fourth proportional to 472,392,476.70, 708,588,715.05 and 414,996,848.70 is: 622,495,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,476.70 : 708,588,715.05 = 414,996,848.70 : x
  2. Step 2: Convert to fraction form
    472,392,476.70/708,588,715.05 = 414,996,848.70/x
  3. Step 3: Cross multiply
    472,392,476.70x = 708,588,715.05 × 414,996,848.70
  4. Step 4: Simplify right side
    472,392,476.70x = 294,062,083,770,132,224
  5. Step 5: Solve for x
    x = 294,062,083,770,132,224/472,392,476.70
  6. Step 6: Final answer
    x = 622,495,273.05

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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.