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Finding the Fourth Proportional to 646,380,206.70, 907,228,114.50 and 646,380,206.70

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Solution

The fourth proportional to 646,380,206.70, 907,228,114.50 and 646,380,206.70 is: 907,228,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,380,206.70 : 907,228,114.50 = 646,380,206.70 : x
  2. Step 2: Convert to fraction form
    646,380,206.70/907,228,114.50 = 646,380,206.70/x
  3. Step 3: Cross multiply
    646,380,206.70x = 907,228,114.50 × 646,380,206.70
  4. Step 4: Simplify right side
    646,380,206.70x = 586,414,296,174,561,280
  5. Step 5: Solve for x
    x = 586,414,296,174,561,280/646,380,206.70
  6. Step 6: Final answer
    x = 907,228,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.