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Finding the Fourth Proportional to 577,368,002.40, 866,052,003.60 and 319,087,676.40

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Solution

The fourth proportional to 577,368,002.40, 866,052,003.60 and 319,087,676.40 is: 478,631,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,368,002.40 : 866,052,003.60 = 319,087,676.40 : x
  2. Step 2: Convert to fraction form
    577,368,002.40/866,052,003.60 = 319,087,676.40/x
  3. Step 3: Cross multiply
    577,368,002.40x = 866,052,003.60 × 319,087,676.40
  4. Step 4: Simplify right side
    577,368,002.40x = 276,346,521,470,288,416
  5. Step 5: Solve for x
    x = 276,346,521,470,288,416/577,368,002.40
  6. Step 6: Final answer
    x = 478,631,514.60

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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.