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Finding the Fourth Proportional to 590,489,345.40, 885,734,018.10 and 590,489,345.40

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Solution

The fourth proportional to 590,489,345.40, 885,734,018.10 and 590,489,345.40 is: 885,734,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,489,345.40 : 885,734,018.10 = 590,489,345.40 : x
  2. Step 2: Convert to fraction form
    590,489,345.40/885,734,018.10 = 590,489,345.40/x
  3. Step 3: Cross multiply
    590,489,345.40x = 885,734,018.10 × 590,489,345.40
  4. Step 4: Simplify right side
    590,489,345.40x = 523,016,500,546,380,736
  5. Step 5: Solve for x
    x = 523,016,500,546,380,736/590,489,345.40
  6. Step 6: Final answer
    x = 885,734,018.10

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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.