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Finding the Fourth Proportional to 682,783,809.90, 1,024,175,714.85 and 510,596,925.90

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Solution

The fourth proportional to 682,783,809.90, 1,024,175,714.85 and 510,596,925.90 is: 765,895,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,783,809.90 : 1,024,175,714.85 = 510,596,925.90 : x
  2. Step 2: Convert to fraction form
    682,783,809.90/1,024,175,714.85 = 510,596,925.90/x
  3. Step 3: Cross multiply
    682,783,809.90x = 1,024,175,714.85 × 510,596,925.90
  4. Step 4: Simplify right side
    682,783,809.90x = 522,940,971,583,844,992
  5. Step 5: Solve for x
    x = 522,940,971,583,844,992/682,783,809.90
  6. Step 6: Final answer
    x = 765,895,388.85

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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.