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Finding the Fourth Proportional to 390,373,992,023.10, 585,560,988,034.65 and 390,373,992,023.10

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Solution

The fourth proportional to 390,373,992,023.10, 585,560,988,034.65 and 390,373,992,023.10 is: 585,560,988,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,373,992,023.10 : 585,560,988,034.65 = 390,373,992,023.10 : x
  2. Step 2: Convert to fraction form
    390,373,992,023.10/585,560,988,034.65 = 390,373,992,023.10/x
  3. Step 3: Cross multiply
    390,373,992,023.10x = 585,560,988,034.65 × 390,373,992,023.10
  4. Step 4: Simplify right side
    390,373,992,023.10x = 228,587,780,472,077,008,502,784
  5. Step 5: Solve for x
    x = 228,587,780,472,077,008,502,784/390,373,992,023.10
  6. Step 6: Final answer
    x = 585,560,988,034.65

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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.