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Finding the Fourth Proportional to 180,445,835,117.40, 270,668,752,676.10 and 180,445,835,117.40

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Solution

The fourth proportional to 180,445,835,117.40, 270,668,752,676.10 and 180,445,835,117.40 is: 270,668,752,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445,835,117.40 : 270,668,752,676.10 = 180,445,835,117.40 : x
  2. Step 2: Convert to fraction form
    180,445,835,117.40/270,668,752,676.10 = 180,445,835,117.40/x
  3. Step 3: Cross multiply
    180,445,835,117.40x = 270,668,752,676.10 × 180,445,835,117.40
  4. Step 4: Simplify right side
    180,445,835,117.40x = 48,841,049,116,823,856,873,472
  5. Step 5: Solve for x
    x = 48,841,049,116,823,856,873,472/180,445,835,117.40
  6. Step 6: Final answer
    x = 270,668,752,676.10

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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.