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Finding the Fourth Proportional to 640,773,769.40, 899,124,010.60 and 640,773,769.40

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Solution

The fourth proportional to 640,773,769.40, 899,124,010.60 and 640,773,769.40 is: 899,124,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,773,769.40 : 899,124,010.60 = 640,773,769.40 : x
  2. Step 2: Convert to fraction form
    640,773,769.40/899,124,010.60 = 640,773,769.40/x
  3. Step 3: Cross multiply
    640,773,769.40x = 899,124,010.60 × 640,773,769.40
  4. Step 4: Simplify right side
    640,773,769.40x = 576,135,081,430,207,552
  5. Step 5: Solve for x
    x = 576,135,081,430,207,552/640,773,769.40
  6. Step 6: Final answer
    x = 899,124,010.60

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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.