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Finding the Fourth Proportional to 682,794,203.40, 1,024,191,305.10 and 510,607,319.40

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Solution

The fourth proportional to 682,794,203.40, 1,024,191,305.10 and 510,607,319.40 is: 765,910,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,794,203.40 : 1,024,191,305.10 = 510,607,319.40 : x
  2. Step 2: Convert to fraction form
    682,794,203.40/1,024,191,305.10 = 510,607,319.40/x
  3. Step 3: Cross multiply
    682,794,203.40x = 1,024,191,305.10 × 510,607,319.40
  4. Step 4: Simplify right side
    682,794,203.40x = 522,959,576,849,898,560
  5. Step 5: Solve for x
    x = 522,959,576,849,898,560/682,794,203.40
  6. Step 6: Final answer
    x = 765,910,979.10

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1.5x scale

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.