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Finding the Fourth Proportional to 272,895,363,531.60, 409,343,045,297.40 and 272,895,363,531.60

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Solution

The fourth proportional to 272,895,363,531.60, 409,343,045,297.40 and 272,895,363,531.60 is: 409,343,045,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,895,363,531.60 : 409,343,045,297.40 = 272,895,363,531.60 : x
  2. Step 2: Convert to fraction form
    272,895,363,531.60/409,343,045,297.40 = 272,895,363,531.60/x
  3. Step 3: Cross multiply
    272,895,363,531.60x = 409,343,045,297.40 × 272,895,363,531.60
  4. Step 4: Simplify right side
    272,895,363,531.60x = 111,707,819,155,566,188,560,384
  5. Step 5: Solve for x
    x = 111,707,819,155,566,188,560,384/272,895,363,531.60
  6. Step 6: Final answer
    x = 409,343,045,297.40

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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.