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Finding the Fourth Proportional to 180,445,833,072.90, 270,668,749,609.35 and 180,445,833,072.90

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Solution

The fourth proportional to 180,445,833,072.90, 270,668,749,609.35 and 180,445,833,072.90 is: 270,668,749,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445,833,072.90 : 270,668,749,609.35 = 180,445,833,072.90 : x
  2. Step 2: Convert to fraction form
    180,445,833,072.90/270,668,749,609.35 = 180,445,833,072.90/x
  3. Step 3: Cross multiply
    180,445,833,072.90x = 270,668,749,609.35 × 180,445,833,072.90
  4. Step 4: Simplify right side
    180,445,833,072.90x = 48,841,048,010,059,337,957,376
  5. Step 5: Solve for x
    x = 48,841,048,010,059,337,957,376/180,445,833,072.90
  6. Step 6: Final answer
    x = 270,668,749,609.35

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Half scale
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Double scale
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Similar ratio
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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.