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Finding the Fourth Proportional to 434,426,843.70, 651,640,265.55 and 434,426,843.70

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Solution

The fourth proportional to 434,426,843.70, 651,640,265.55 and 434,426,843.70 is: 651,640,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,426,843.70 : 651,640,265.55 = 434,426,843.70 : x
  2. Step 2: Convert to fraction form
    434,426,843.70/651,640,265.55 = 434,426,843.70/x
  3. Step 3: Cross multiply
    434,426,843.70x = 651,640,265.55 × 434,426,843.70
  4. Step 4: Simplify right side
    434,426,843.70x = 283,090,023,790,716,320
  5. Step 5: Solve for x
    x = 283,090,023,790,716,320/434,426,843.70
  6. Step 6: Final answer
    x = 651,640,265.55

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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.