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Finding the Fourth Proportional to 360,907,488,031.80, 541,361,232,047.70 and 360,907,488,031.80

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Solution

The fourth proportional to 360,907,488,031.80, 541,361,232,047.70 and 360,907,488,031.80 is: 541,361,232,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,488,031.80 : 541,361,232,047.70 = 360,907,488,031.80 : x
  2. Step 2: Convert to fraction form
    360,907,488,031.80/541,361,232,047.70 = 360,907,488,031.80/x
  3. Step 3: Cross multiply
    360,907,488,031.80x = 541,361,232,047.70 × 360,907,488,031.80
  4. Step 4: Simplify right side
    360,907,488,031.80x = 195,381,322,376,135,797,899,264
  5. Step 5: Solve for x
    x = 195,381,322,376,135,797,899,264/360,907,488,031.80
  6. Step 6: Final answer
    x = 541,361,232,047.70

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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.