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Finding the Fourth Proportional to 580,607,997.60, 870,911,996.40 and 521,485,514.40

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Solution

The fourth proportional to 580,607,997.60, 870,911,996.40 and 521,485,514.40 is: 782,228,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,607,997.60 : 870,911,996.40 = 521,485,514.40 : x
  2. Step 2: Convert to fraction form
    580,607,997.60/870,911,996.40 = 521,485,514.40/x
  3. Step 3: Cross multiply
    580,607,997.60x = 870,911,996.40 × 521,485,514.40
  4. Step 4: Simplify right side
    580,607,997.60x = 454,167,990,439,784,896
  5. Step 5: Solve for x
    x = 454,167,990,439,784,896/580,607,997.60
  6. Step 6: Final answer
    x = 782,228,271.60

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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.