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Finding the Fourth Proportional to 180,445,831,519.90, 270,668,747,279.85 and 180,445,831,519.90

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Solution

The fourth proportional to 180,445,831,519.90, 270,668,747,279.85 and 180,445,831,519.90 is: 270,668,747,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445,831,519.90 : 270,668,747,279.85 = 180,445,831,519.90 : x
  2. Step 2: Convert to fraction form
    180,445,831,519.90/270,668,747,279.85 = 180,445,831,519.90/x
  3. Step 3: Cross multiply
    180,445,831,519.90x = 270,668,747,279.85 × 180,445,831,519.90
  4. Step 4: Simplify right side
    180,445,831,519.90x = 48,841,047,169,362,204,557,312
  5. Step 5: Solve for x
    x = 48,841,047,169,362,204,557,312/180,445,831,519.90
  6. Step 6: Final answer
    x = 270,668,747,279.85

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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.