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Finding the Fourth Proportional to 682,985,718.30, 1,024,478,577.45 and 682,985,718.30

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Solution

The fourth proportional to 682,985,718.30, 1,024,478,577.45 and 682,985,718.30 is: 1,024,478,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,985,718.30 : 1,024,478,577.45 = 682,985,718.30 : x
  2. Step 2: Convert to fraction form
    682,985,718.30/1,024,478,577.45 = 682,985,718.30/x
  3. Step 3: Cross multiply
    682,985,718.30x = 1,024,478,577.45 × 682,985,718.30
  4. Step 4: Simplify right side
    682,985,718.30x = 699,704,237,102,650,368
  5. Step 5: Solve for x
    x = 699,704,237,102,650,368/682,985,718.30
  6. Step 6: Final answer
    x = 1,024,478,577.45

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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.