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Finding the Fourth Proportional to 490,613,307,078.07, 735,919,960,617.10 and 490,613,307,078.07

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Solution

The fourth proportional to 490,613,307,078.07, 735,919,960,617.10 and 490,613,307,078.07 is: 735,919,960,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,078.07 : 735,919,960,617.10 = 490,613,307,078.07 : x
  2. Step 2: Convert to fraction form
    490,613,307,078.07/735,919,960,617.10 = 490,613,307,078.07/x
  3. Step 3: Cross multiply
    490,613,307,078.07x = 735,919,960,617.10 × 490,613,307,078.07
  4. Step 4: Simplify right side
    490,613,307,078.07x = 361,052,125,623,118,471,364,608
  5. Step 5: Solve for x
    x = 361,052,125,623,118,471,364,608/490,613,307,078.07
  6. Step 6: Final answer
    x = 735,919,960,617.10

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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.