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Finding the Fourth Proportional to 907,665,622.70, 1,361,498,434.05 and 907,665,622.70

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Solution

The fourth proportional to 907,665,622.70, 1,361,498,434.05 and 907,665,622.70 is: 1,361,498,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,665,622.70 : 1,361,498,434.05 = 907,665,622.70 : x
  2. Step 2: Convert to fraction form
    907,665,622.70/1,361,498,434.05 = 907,665,622.70/x
  3. Step 3: Cross multiply
    907,665,622.70x = 1,361,498,434.05 × 907,665,622.70
  4. Step 4: Simplify right side
    907,665,622.70x = 1,235,785,323,947,068,160
  5. Step 5: Solve for x
    x = 1,235,785,323,947,068,160/907,665,622.70
  6. Step 6: Final answer
    x = 1,361,498,434.05

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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.