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Finding the Fourth Proportional to 185,573,504,023.10, 278,360,256,034.65 and 185,573,504,023.10

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Solution

The fourth proportional to 185,573,504,023.10, 278,360,256,034.65 and 185,573,504,023.10 is: 278,360,256,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,573,504,023.10 : 278,360,256,034.65 = 185,573,504,023.10 : x
  2. Step 2: Convert to fraction form
    185,573,504,023.10/278,360,256,034.65 = 185,573,504,023.10/x
  3. Step 3: Cross multiply
    185,573,504,023.10x = 278,360,256,034.65 × 185,573,504,023.10
  4. Step 4: Simplify right side
    185,573,504,023.10x = 51,656,288,093,117,274,390,528
  5. Step 5: Solve for x
    x = 51,656,288,093,117,274,390,528/185,573,504,023.10
  6. Step 6: Final answer
    x = 278,360,256,034.65

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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.