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Finding the Fourth Proportional to 417,312,752,954.90, 625,969,129,432.30 and 417,312,752,954.90

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Solution

The fourth proportional to 417,312,752,954.90, 625,969,129,432.30 and 417,312,752,954.90 is: 625,969,129,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,752,954.90 : 625,969,129,432.30 = 417,312,752,954.90 : x
  2. Step 2: Convert to fraction form
    417,312,752,954.90/625,969,129,432.30 = 417,312,752,954.90/x
  3. Step 3: Cross multiply
    417,312,752,954.90x = 625,969,129,432.30 × 417,312,752,954.90
  4. Step 4: Simplify right side
    417,312,752,954.90x = 261,224,900,668,175,268,446,208
  5. Step 5: Solve for x
    x = 261,224,900,668,175,268,446,208/417,312,752,954.90
  6. Step 6: Final answer
    x = 625,969,129,432.30

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1.5x scale

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.