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Finding the Fourth Proportional to 275,893,249,512.15, 413,839,874,268.23 and 275,893,249,512.15

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Solution

The fourth proportional to 275,893,249,512.15, 413,839,874,268.23 and 275,893,249,512.15 is: 413,839,874,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,893,249,512.15 : 413,839,874,268.23 = 275,893,249,512.15 : x
  2. Step 2: Convert to fraction form
    275,893,249,512.15/413,839,874,268.23 = 275,893,249,512.15/x
  3. Step 3: Cross multiply
    275,893,249,512.15x = 413,839,874,268.23 × 275,893,249,512.15
  4. Step 4: Simplify right side
    275,893,249,512.15x = 114,175,627,689,561,566,478,336
  5. Step 5: Solve for x
    x = 114,175,627,689,561,566,478,336/275,893,249,512.15
  6. Step 6: Final answer
    x = 413,839,874,268.23

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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.