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Finding the Fourth Proportional to 567,218,146,502.20, 850,827,219,753.30 and 567,218,146,502.20

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Solution

The fourth proportional to 567,218,146,502.20, 850,827,219,753.30 and 567,218,146,502.20 is: 850,827,219,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,218,146,502.20 : 850,827,219,753.30 = 567,218,146,502.20 : x
  2. Step 2: Convert to fraction form
    567,218,146,502.20/850,827,219,753.30 = 567,218,146,502.20/x
  3. Step 3: Cross multiply
    567,218,146,502.20x = 850,827,219,753.30 × 567,218,146,502.20
  4. Step 4: Simplify right side
    567,218,146,502.20x = 482,604,638,582,086,786,088,960
  5. Step 5: Solve for x
    x = 482,604,638,582,086,786,088,960/567,218,146,502.20
  6. Step 6: Final answer
    x = 850,827,219,753.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.