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Finding the Fourth Proportional to 215,312,821,254.30, 322,969,231,881.45 and 215,312,821,254.30

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Solution

The fourth proportional to 215,312,821,254.30, 322,969,231,881.45 and 215,312,821,254.30 is: 322,969,231,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,312,821,254.30 : 322,969,231,881.45 = 215,312,821,254.30 : x
  2. Step 2: Convert to fraction form
    215,312,821,254.30/322,969,231,881.45 = 215,312,821,254.30/x
  3. Step 3: Cross multiply
    215,312,821,254.30x = 322,969,231,881.45 × 215,312,821,254.30
  4. Step 4: Simplify right side
    215,312,821,254.30x = 69,539,416,494,729,209,053,184
  5. Step 5: Solve for x
    x = 69,539,416,494,729,209,053,184/215,312,821,254.30
  6. Step 6: Final answer
    x = 322,969,231,881.45

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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.